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Academic literature on the topic 'Manifolds with ends'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Manifolds with ends"

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BELEGRADEK, IGOR. "AN ASSORTMENT OF NEGATIVELY CURVED ENDS." Journal of Topology and Analysis 05, no. 04 (December 2013): 439–49. http://dx.doi.org/10.1142/s1793525313500180.

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Motivated by recent groundbreaking work of Ontaneda, we describe a sizable class of closed manifolds such that the product of each manifold in the class with ℝ admits a complete metric of bounded negative sectional curvature which is an exponentially warped near one end and has finite volume near the other end.
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Apanasov, Boris, and Xiangdong Xie. "Geometrically Finite Complex Hyperbolic Manifolds." International Journal of Mathematics 08, no. 06 (September 1997): 703–57. http://dx.doi.org/10.1142/s0129167x97000378.

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The aim of this paper is to study geometry and topology of geometrically finite complex hyperbolic manifolds, especially their ends, as well as geometry of their holonomy groups. This study is based on our structural theorem for discrete groups acting on Heisenberg groups, on the fiber bundle structure of Heisenberg manifolds, and on the existence of finite coverings of a geometrically finite manifold such that their parabolic ends have either Abelian or 2-step nilpotent holonomy. We also study an interplay between Kähler geometry of complex hyperbolic n-manifolds and Cauchy–Riemannian geometry of their boundary (2n-1)-manifolds at infinity, and this study is based on homotopy equivalence of manifolds and isomorphism of fundamental groups.
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Gilligan, B., K. Oeljeklaus, and W. Richthofer. "Homogeneous Complex Manifolds with more than One End." Canadian Journal of Mathematics 41, no. 1 (February 1, 1989): 163–77. http://dx.doi.org/10.4153/cjm-1989-008-4.

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For homogeneous spaces of a (real) Lie group one of the fundamental results concerning ends (in the sense of Freudenthal [8] ) is due to A. Borel [6]. He showed that if X = G/H is the homogeneous space of a connected Lie group G by a closed connected subgroup H, then X has at most two ends. And if X does have two ends, then it is diffeomorphic to the product of R with the orbit of a maximal compact subgroup of G.In the setting of homogeneous complex manifolds the basic idea should be to find conditions which imply that the space has at most two ends and then, when the space has exactly two ends, to display the ends via bundles involving C* and compact homogeneous complex manifolds. An analytic condition which ensures that a homogeneous complex manifold X has at most two ends is that X have non-constant holomorphic functions and the structure of such a space with exactly two ends is determined, namely, it fibers over an affine homogeneous cone with its vertex removed with the fiber being compact [9], [13].
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Canary, Richard D. "Ends of Hyperbolic 3-Manifolds." Journal of the American Mathematical Society 6, no. 1 (January 1993): 1. http://dx.doi.org/10.2307/2152793.

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Canary, Richard D. "Ends of hyperbolic $3$-manifolds." Journal of the American Mathematical Society 6, no. 1 (January 1, 1993): 1. http://dx.doi.org/10.1090/s0894-0347-1993-1166330-8.

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Eschenburg, J. H., and V. Schroeder. "Riemannian manifolds with flat ends." Mathematische Zeitschrift 196, no. 4 (December 1987): 573–89. http://dx.doi.org/10.1007/bf01160897.

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Biringer, Ian, and Jean Raimbault. "Ends of unimodular random manifolds." Proceedings of the American Mathematical Society 145, no. 9 (March 23, 2017): 4021–29. http://dx.doi.org/10.1090/proc/13531.

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Apanasov, B. N. "Cusp ends of hyperbolic manifolds." Annals of Global Analysis and Geometry 3, no. 1 (1985): 1–11. http://dx.doi.org/10.1007/bf00054488.

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Alpern, S., and V. Prasad. "End Behaviour and Ergodicity for Homeomorphisms of Manifolds with Finitely Many Ends." Canadian Journal of Mathematics 39, no. 2 (April 1, 1987): 473–91. http://dx.doi.org/10.4153/cjm-1987-020-5.

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The recent paper of Berlanga and Epstein [5] demonstrated the significant role played by the “ends” of a noncompact manifold M in answering questions relating homeomorphisms of M to measures on M. In this paper we show that an analysis of the end behaviour of measure preserving homeomorphisms of a manifold also leads to an understanding of some of their ergodic properties, and allows results previously obtained for compact manifolds to be extended (with qualifications) to the noncompact case. We will show that ergodicity is typical (dense Gδ) with respect to various compact-open topology closed subsets of the space consisting of all homeomorphisms of a manifold M which preserve a measure μ. It may be interesting for topologists to note that we prove when M is a σ-compact connected n-manifold, n≧ 2, then M is the countable union of an increasing family of compact connected manifolds. If M is a PL or smooth manifold, this is well known and easy. If M is just, however, a topological n-manifold then we apply the recent results [9] and [12] to prove the result. The Borel measure μ, is taken to be nonatomic, locally finite, positive on open sets, and zero for the manifold boundary of M.
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Fujiwara, Koji, and Takashi Shioya. "Graph manifolds as ends of negatively curved Riemannian manifolds." Geometry & Topology 24, no. 4 (November 10, 2020): 2035–74. http://dx.doi.org/10.2140/gt.2020.24.2035.

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Dissertations / Theses on the topic "Manifolds with ends"

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Krainer, Thomas. "Elliptic boundary problems on manifolds with polycylindrical ends." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2991/.

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We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel’s calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.
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Veloso, Diogo. "Seiberg-Witten theory on 4-manifolds with periodic ends." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4781/document.

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Dans cette thèse on prouve des résultats analytiques sur la théorie cohomotopique de Seiberg-Witten pour des 4-variétes Riemanniennes Spinc(4) a bouts périodiques, (X,g,τ). Nos résultats montrent, que sur certaines conditions techniques en (X, g, τ ),, cette nouvelle version est cohérente et mène a des invariants de Seiberg-Witten.Premièrement, en utilisant le critère de Taubes pour des operateurs périodiques dans des variétes a bouts périodiques, on montre que pour une 4-varieté Riemmanienne a bouts périodiques (X, g) vérifiant certaines conditions topologiques, le Laplacian ∆+ : L2(Λ2+) → L2(Λ2+) est un opérateur de Fredholm. On prouve une décomposition de type Hodge pour des 1-formes de X, a poids positif.Ensuite on prouve, en assumant certaines conditions topologiques et courbure scalaire non-negative sur les bouts, que l'opérateur de Dirac associé a une connection périodique (ASD a l'infini) est Fredholm.Dans la deuxième partie de la thèse on démontre un isomorphisme entre le groupe de cohomologie de de Rham Hd1R(X,iR), et le groupe harmonique intervenant dans la decomposition de Hodge des 1-formes de X a poids positif. On prouve l'existence de deux séquences exactes courtes liant le groupe de jauge de l'espace de modules de Seiberg-Witten et le groupe de cohomologie H1(X, 2πiZ).Dans la troisième partie on prouve les principaux résultats: la coercitivité de l'application de Seiberg-Witten et la compacité de l'espace de moduli pour une 4-varieté a bouts périodiques (X, g, τ ), vérifiant les conditions mentionnées plus haut.Finalment, utilisant la coercivité, on montre l'existence d'un invariant cohomotopique de type Seiberg- Witten type associé a (X, g, τ )
In this thesis we prove analytic results about a cohomotopical Seiberg-Witten theory for a Riemannian, Spinc(4) 4-manifold with periodic ends, (X,g,τ) . Our results show that, under certain technical assumptions on (X, g, τ ), this new version is coher- ent and leads to Seiberg-Witten type invariants for this new class of 4-manifolds.First, using Taubes criteria for end-periodic operators on manifolds with periodic ends, we show that, for a Riemannian 4-manifold with periodic ends (X, g), verifying certain topological conditions, the Laplacian ∆+ : L2(Λ2+) → L2(Λ2+) is a Fredholm operator. This allows us to prove an important Hodge type decomposition for positively weighted Sobolev 1-forms on X.We prove, assuming non-negative scalar curvature on each end and certain technical topological conditions, that the associated Dirac operator associated with an end-periodic connection (which is ASD at infinity) is Fredholm.In the second part of the thesis we establish an isomorphism between be- tween the de Rham cohomology group, Hd1R(X,iR) (which is a topological in- variant of X) and the harmonic group intervening in the above Hodge type decomposition of the space of positively weighted 1-forms on X. We also prove two short exact sequences relating the gauge group of our Seiberg-Witten moduli problem and the cohomology group H1(X, 2πiZ).In the third part, we prove our main results: the coercivity of the Seiberg-Witten map and compactness of the moduli space for a 4-manifold with periodic ends (X,g,τ) verifying the above conditions.Finally, using our coercitivity property, we show that a Seiberg-Witten type cohomotopy invariant associated to (X, g, τ ) can be defined
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Santos, Almir Rogério Silva. "A construction of constant scalar curvature manifolds with delaunay-type ends." reponame:Repositório Institucional da UFS, 2009. https://ri.ufs.br/handle/riufs/825.

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Foi provado por Byde que é possível adicionar um fim do tipo Delaunay a uma variedade compacta não degenerada de curvatura escalar constante positiva; desde que ela seja localmente conformemente plana em alguma vizinhança do ponto de colagem. A variedade resultante é não-compacta e possui a mesma curvatura escalar constante. O principal objetivo desta tese é generalizar este resultado. Construiremos uma família a um parâmetro de soluções para o problema de Yamabe singular positivo em qualquer variedade compacta não degenerada cujo tensor de Weyl anula-se até uma ordem suficientemente grande no ponto singular. Se a dimensão da variedade é no máximo 5; nenhuma condição sobre o tensor de Weyl é necessária. Usaremos técnicas de pertubação e o método de colagem. _________________________________________________________________________________________ ABSTRACT: It has been showed by Byde [5] that it is possible to attach a Delaunay type end to a compact nondegenerate manifold of positive constant scalar curvature, provided it is locally conformally flat in a neighborhood of the attaching point. The resulting manifold is noncompact with the same constant scalar curvature. The main goal of this thesis is to generalize this result. We will construct a one-parameter family of solutions to the positive singular Yamabe problem for any compact non-degenerate manifold with Weyl tensor vanishing to suciently high order at the singular point. If the dimension is at most 5, no condition on the Weyl tensor is needed. We will use perturbation techniques and gluing methods.
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Wu, Fangbing. "The index theorem for manifolds with cylindrical ends and elliptic boundary value problems /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487672631601726.

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Cellini, Caroline Paula [UNESP]. "Dualidade de Poincaré e invariantes cohomológicos." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/99831.

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Made available in DSpace on 2014-06-11T19:30:22Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-03-31Bitstream added on 2014-06-13T19:19:04Z : No. of bitstreams: 1 cellini_cp_me_sjrp.pdf: 781641 bytes, checksum: 70ed1b385d132f8255370c0014be09b4 (MD5)
Neste trabalho são abordados alguns aspectos da teoria de dualidade. Ele pode ser dividido em três partes principais. Na primeira demonstramos o teorema de Dualidade de Poincaré para variedades (sem bordo) orientáveis. Para tanto, fez-se necessário o uso do limite direto e cohomologia com suporte compacto. Na segunda definimos grupos de dualidade, em particular, grupo de dualidade de Poincaré, apresentamos alguns resultados e observações sobre a relação existente entre tais grupos e os grupos fundamentais de variedades asféricas fechadas, que é ainda um problema em aberto. Finalmente, alguns resultados envolvendo invariantes cohomológicos ends e grupos de dualidade são apresentados.
In this work we consider some aspects of duality theory. It can be divided in three principal parts. In the first we prove the Poincaré Duality theorem for orientable manifolds (without boundary). For that, it is necessary the use of the direct limit and cohomology with compact supports. In the second part we de¯ne duality groups, in particular, Poincaré duality groups, we introduce some results and observations about the relationship between such groups and fundamental groups of aspherical closed manifolds, that still is an open problem. Finally, some results envolving the cohomological invariant ends and duality groups are presented.
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Cellini, Caroline Paula. "Dualidade de Poincaré e invariantes cohomológicos /." São José do Rio Preto : [s.n.], 2008. http://hdl.handle.net/11449/99831.

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Orientador: Ermínia de Lourdes Campello Fanti
Banca: Fernanda Soares Pinto Cardona
Banca: Maria Gorete Carreira Andrade
Resumo: Neste trabalho são abordados alguns aspectos da teoria de dualidade. Ele pode ser dividido em três partes principais. Na primeira demonstramos o teorema de Dualidade de Poincaré para variedades (sem bordo) orientáveis. Para tanto, fez-se necessário o uso do limite direto e cohomologia com suporte compacto. Na segunda definimos grupos de dualidade, em particular, grupo de dualidade de Poincaré, apresentamos alguns resultados e observações sobre a relação existente entre tais grupos e os grupos fundamentais de variedades asféricas fechadas, que é ainda um problema em aberto. Finalmente, alguns resultados envolvendo invariantes cohomológicos "ends" e grupos de dualidade são apresentados.
Abstract: In this work we consider some aspects of duality theory. It can be divided in three principal parts. In the first we prove the Poincaré Duality theorem for orientable manifolds (without boundary). For that, it is necessary the use of the direct limit and cohomology with compact supports. In the second part we de¯ne duality groups, in particular, Poincaré duality groups, we introduce some results and observations about the relationship between such groups and fundamental groups of aspherical closed manifolds, that still is an open problem. Finally, some results envolving the cohomological invariant "ends" and duality groups are presented.
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Books on the topic "Manifolds with ends"

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Taubes, Clifford. L² moduli spaces on 4-manifolds with cylindrical ends. Boston: International Press, 1993.

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Taubes, Clifford. L2 moduli spaces on 4-manifolds with cylindrical ends. Boston: International Press, 1993.

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Taubes, Clifford. Lp2s moduli spaces on 4-manifolds with cylindrical ends. Boston: International Press, 1993.

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Brin, Matthew G. 3-manifolds which are end 1-movable. Providence, R.I., USA: American Mathematical Society, 1989.

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Lee, Joo Sung. The Hilbert-Smith conjecture and prime end theory on 3-manifolds. 1993.

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Williams, Donald C. The Shape of Time. Edited by A. R. J. Fisher. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198810384.003.0012.

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This chapter is about the arrow or direction of time against the backdrop of the pure manifold theory. It is accepted that the fact that time has a direction ought to be explained. It is proposed that the arrow of time is grounded in deeper facts about the four-dimensional nature of each object in the manifold and in facts about the overall four-dimensional shape of the universe. Towards the end of the chapter the possibility of time travel is discussed. It is argued that time travel is metaphysically possible and that there is a reasonable and intelligible sense in which a time traveler can and cannot change the past, according to the pure manifold theory.
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McDuff, Dusa, and Dietmar Salamon. The group of symplectomorphisms. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198794899.003.0011.

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This chapter discusses the basic properties of the group of symplectomorphisms of a compact connected symplectic manifold and its subgroup of Hamiltonian symplectomorphisms. It begins by showing that the group of symplectomorphisms is locally path-connected and then moves on to the flux homomorphism. The main result here is a theorem of Banyaga that characterizes the Hamiltonian symplectomorphisms in terms of the flux homomorphism. In the noncompact case there is another interesting homomorphism, called the Calabi homomorphism, that takes values in the reals and may be defined on the universal cover of the group of Hamiltonian symplectomorphisms. The chapter ends with a brief comparison of the topological properties of the group of symplectomorphisms with those of the group of diffeomorphisms.
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Kortgen, Andreas, and Michael Bauer. Hepatic function in the critically ill. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199600830.003.0175.

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The liver with its parenchymal and non-parenchymal cells plays a key role in the organism with manifold functions of metabolism, synthesis, detoxification, excretion, and host response. This requires a portfolio of different tests to obtain an overview of hepatic function. In the critically ill hepatic dysfunction is common and potentially leading to extrahepatic organ dysfunctions culminating in multi-organ failure. Conventional laboratory measures are used to evaluate hepatocellular damage, cholestasis, or synthesis. They provide valuable (differential) diagnostic data and can yield prognostic information in chronic liver diseases, especially when used in scoring systems such as the ‘model for end-stage liver disease’. However, they have short-comings in the critically ill in assessing rapid changes in hepatic function and liver blood flow. In contrast, dynamic quantitative liver function tests measure current liver function with respect to the ability to eliminate and/or metabolize a specific substance. In addition, they are dependent on sinusoidal blood flow. Liver function tests have prognostic significance in the critically ill and may be used to guide therapy.
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Hagemann, Hannah-Lena. The Kharijites in Early Islamic Historical Tradition. Edinburgh University Press, 2021. http://dx.doi.org/10.3366/edinburgh/9781474450881.001.0001.

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The Khārijites are perhaps the most notorious rebels of early Islamic history. The Islamic tradition portrays them as a heretical movement of militant zealots, a notion largely reiterated by modern scholarship on this phenomenon, which is both surprisingly scarce and largely concerned with historical Khārijism ‘as it really was’. In contrast, this book provides the first comprehensive literary analysis of the early years of Khārijite history (c657-705 CE) as depicted in 9th- and 10th-century CE Islamic historiography. It purposefully moves away from positivist reconstructions and instead examines the narrative role and function of Khārijism in early Islamic historical writing. Two main arguments are advanced: first, that there is little narrative substance to the Khārijites as they are described in the selected sources; and second, that Islamic historiography does not approach Khārijism as an end in itself, but as a tool with which to discuss other issues. By exploring the manifold purposes of telling stories about these so-called heretics and rebels, the book thus provides a fresh perspective on early Khārijism and contributes to the study of how historical memory was created in the early Islamic period. Above all, the analysis highlights the need for a serious reassessment of the historical phenomenon of Khārijism as it is currently understood in scholarship.
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Kucinskas, Jaime. The Mindful Elite. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190881818.001.0001.

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From the halls of the Ivy League to the C-suite at Fortune 500 companies, this book reveals the people behind the mindfulness movement, and the engine they built to propel mindfulness into public consciousness. Based on over a hundred interviews with meditating scientists, religious leaders, educators, businesspeople, and investors, this book shows how this highly accomplished, affluent group has popularized meditation as a tool for health, happiness, and social reform over the past forty years. Rather than working through temples or using social movement tactics like protest to improve society, they mobilized by building elite networks advocating the benefits of meditation across professions. They built momentum by drawing in successful, affluent people and their prestigious institutions, including Ivy League and flagship research universities, and Fortune 100 companies like Google and General Mills. To broaden meditation’s appeal, they made manifold adaptations along the way. In the end, does mindfulness really make our society better? Or has mindfulness lost its authenticity? This book reveals how elite movements can spread, and how powerful spiritual and self-help movements can transform individuals in their wake. Yet, spreading the dharma came with unintended consequences. With their focus on individual transformation, the mindful elite have fallen short of the movement’s lofty ambitions to bring about broader structural and institutional change. Ultimately, this idealistic myopia unintentionally came to reinforce some of the problems it originally aspired to solve.
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Book chapters on the topic "Manifolds with ends"

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Kapovich, Michael. "Pleated Surfaces and Ends of Hyperbolic Manifolds." In Hyperbolic Manifolds and Discrete Groups, 351–68. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4913-5_14.

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Mj, Mahan. "Models of ends of hyperbolic 3-manifolds. A survey." In Handbook of Teichmüller Theory, Volume VII, 165–93. Zuerich, Switzerland: European Mathematical Society Publishing House, 2020. http://dx.doi.org/10.4171/203-1/6.

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Mitrea, Marius, and Victor Nistor. "A note on boundary value problems on manifolds with cylindrical ends." In Aspects of Boundary Problems in Analysis and Geometry, 472–94. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7850-0_8.

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Kohr, Mirela, and Cornel Pintea. "On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends." In Topics in Mathematical Analysis and Applications, 483–99. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06554-0_20.

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Guilbault, Craig R. "Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory." In Topology and Geometric Group Theory, 45–125. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43674-6_3.

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Ahmad, Irfan, and Jie Kang. "Introduction: Imagining Alternatives to Globalization of the Nation Form." In The Nation Form in the Global Age, 3–44. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-85580-2_1.

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AbstractThis chapter makes a set of three interconnected arguments. The first argument, which critically binds the volume together, is that rather than seeing contemporary politics in terms of globalization eroding the nation state or its persistence regardless of globalization, what characterizes the world is the globalization of the nation form. Second, by showing nationalism’s relationship with violence it underlines the need to interrogate the efficacy and morality of the nation state as a form of polis. Third, in dialogue with Arjun Appadurai’s productive criticism of nationalism, it makes the contention that instead of being informed exclusively by the present and the diaspora (as in Appadurai’s writings), imaginings of a postnational world should equally account for the pre- and anti-national forms of thoughts prior to the World War II. To this end, it discusses Muhammad Iqbal (d. 1938), poet-philosopher of undivided India, and Hasan al-Banna (d. 1949), activist-reformer and founder of Egypt’s Muslim Brotherhood. The second and third arguments thus outline arenas for future decolonial anthropological and other works on nationalism and culture more generally. With a description of the volume’s manifold theoretical and methodological distinctions, the chapter concludes with an outline of chapters ahead.
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"Noncompact Manifolds and Ends." In Typical Dynamics of Volume Preserving Homeomorphisms, 106–29. Cambridge University Press, 2001. http://dx.doi.org/10.1017/cbo9780511543180.016.

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"Chapter 3. Manifolds with hyperbolic ends." In Mathematical Society of Japan Memoirs, 95–138. Tokyo, Japan: The Mathematical Society of Japan, 2014. http://dx.doi.org/10.2969/msjmemoirs/03201c030.

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Grigor’yan, Alexander, Satoshi Ishiwata, and Laurent Saloff-Coste. "Geometric analysis on manifolds with ends." In Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs, 325–44. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110700763-011.

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"Pseudodifferential operators on manifolds with conical ends." In The Technique of Pseudodifferential Operators, 118–43. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569425.006.

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Conference papers on the topic "Manifolds with ends"

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Battaglia, Fabio, Raphael Mandel, Amir Shooshtari, and Michael M. Ohadi. "A Porous Medium Approach for Single-Phase Flow and Heat Transfer Modeling in Manifold Microchannel Heat Exchangers." In ASME 2020 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ipack2020-2564.

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Abstract Manifold Microchannels have been proven to enhance thermal management in different fields, such as electronic cooling, dry cooling, and high temperature heat exchangers. Manifold-microchannels use a system of manifolds to divide a microgrooved surface into a system of manifolds, thereby reducing pressure drop and increasing heat transfer by utilizing the developing flow regime. Because of this, design of a manifold-microchannel heat exchanger requires the design of the manifold and microchannel. In some situations, a sequential design approach, where one first designs the microchannel and then the manifold — is sufficient to meet the requirements of the problem statements. The more demanding requirements of contemporary applications require manifold microchannel design to evolve and become more complex. In particular, reducing the volume and pitch of the manifold has become necessary. Reducing the volume of the manifold results in a higher flow maldistribution, and the ability to predict how maldistribution affects heat transfer rate is critical. Similarly, reducing the pitch of the manifold increases the effect of axial conduction in the solid, and understanding the effect on heat transfer is important. To those ends, this work shows a porous medium approach for single-phase flow in manifold microchannel, which allows to predict pressure drop, maldistribution, axial conduction, and heat transfer rate with a much smaller computational demand when compared to a full 3D simulation, while guaranteeing very similar results.
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Wehrheim, Katrin. "Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing." In Low-dimensional manifolds and high-dimensional categories -- A conference in honor of Michael Hartley Freedman. Mathematical Sciences Publishers, 2013. http://dx.doi.org/10.2140/gtm.2012.18.369.

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Mathew, B., and H. Hegab. "Axial Heat Conduction in Counter Flow Microchannel Heat Exchangers." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56305.

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This paper analyzes the effect of axial heat conduction on the thermal performance of a balanced counter flow microchannel heat exchanger. The ends of the wall separating the coolants are subjected to the mixed-boundary condition. Analytical equations were developed for predicting the axial temperature of the fluids and the wall as well as the effectiveness of the fluids. Moreover, equations for determining the heat transferred between the heat exchanger and its surroundings have been provided in this paper. The effectiveness of the fluids depended on the NTU, axial heat conduction parameter, manifold fluid temperatures and Biot numbers (of the manifolds). By varying the Biot number the model presented here can be used for designing a MCHXCF with Dirichlet, Neumann or mixed boundary condition at the ends of the wall separating the coolants. At very low values of Biot number the end walls act as if they are insulated. At these values of Biot numbers the effectiveness of the fluids degraded with increase in axial heat conduction parameter for a particular NTU. At very high values of Biot number the end walls assume a temperature that is close to the temperature in the manifold. At high values of Biot number the effectiveness of the fluids can either improve or degrade depending on the manifold temperatures. Moreover, the model developed in this paper has been verified using existing models that consider either adiabatic or isothermal condition at the end walls.
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Liu, X., J. Lin, K. M. McConnaghy, T. A. Trabold, J. J. Gagliardo, and J. P. Owejan. "Investigation of Channel-to-Manifold Water Transport in Proton Exchange Membrane Fuel Cells." In ASME 2012 10th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2012 6th International Conference on Energy Sustainability. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fuelcell2012-91093.

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Management of liquid water formed by the electrochemical reaction has received considerable attention and is considered a key factor in proton exchange membrane fuel cell (PEMFC) performance and durability. For practical stack applications, an aspect of the water management problem that is often overlooked is the transport of liquid water at the transition between the ends of the bipolar plate channels and the manifolds, where excess reactant flows from all the individual cells are combined and directed to the stack exhaust. In the bipolar plate exit region, gas-phase momentum can be very low, especially on the anode, and thus there is little driving force to remove liquid water. This study seeks to first quantify the characteristics of channel-to-manifold water transport by analysis of in-situ neutron radiography images, and correlation of the volumes of liquid water in the active and non-active regions to the relevant fuel cell operating conditions: temperature, pressure, relative humidity, current density and stoichiometric ratio. This analysis is complimented by new ex-situ experiments that directly control the flow of channel-level water and quantify the attendant increase in two-phase pressure drop in the non-active fuel cell region. The ex-situ apparatus has the additional feature of a simultaneous cross-flow channel at the exit plane of the bipolar plate, which enables simulation of two-phase flow dynamics of a fuel cell positioned anywhere in a stack, from zero cross-flow at the capped end of the stack to maximum cross-flow at the gas connected end of the stack.
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Liu, Xuan, Thomas A. Trabold, Jeffrey J. Gagliardo, David L. Jacobson, and Daniel S. Hussey. "Neutron Imaging of Water Accumulation in the Active Area and Channel-to-Manifold Transitions of a PEMFC." In ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2013 Heat Transfer Summer Conference and the ASME 2013 7th International Conference on Energy Sustainability. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fuelcell2013-18183.

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Management of liquid water formed by the electrochemical fuel cell reaction is a key factor in PEMFC performance and durability. For practical stack applications, an important consideration is the transport of liquid water at the transition between the ends of the bipolar plate channels and the manifolds, where excess reactant flows from all the individual cells are combined and directed to the stack exhaust. In this region, gas-phase momentum can be very low, especially on the anode, where there is little driving force to remove liquid water that may accumulate as a result of geometrical or surface energy variations, or due to relatively low temperatures that exist outside of the fuel cell active area. This study seeks to characterize the water accumulated within the active area and at the channel-to-manifold transition regions at both the anode and cathode outlets, as a function of cell operating temperature and current density. The neutron imaging method was applied to directly measure the water volumes within the transition regions, and provide a comparison to simultaneously measured water volume within the cell active area. Transition-region water was found to be weakly dependent on current density, suggesting that once water forms in this area, little driving force exists to extract it entirely by means of gas momentum. Moreover, it was found that the active area water volume is strongly dependent on cell temperature, and temperature variation of as little as 0.5 °C can produce a significant change in water accumulation which is reflected in the cell voltage.
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Bryant, J. L. "Homologically arc-homogeneous ENRs." In Workshop on Exotic Homology Manifolds. Mathematical Sciences Publishers, 2006. http://dx.doi.org/10.2140/gtm.2006.9.1.

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Newbound, T. D., J. W. Beckenbach, and H. M. Al-Mutawa. "Identification and Clean-Up of Contaminants From Vaporized NGL CGT Fuel." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90031.

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This paper describes an analytical approach used to identify heavy natural gas liquid (NGL) fuel components and fuel conditioning solutions employed to prevent fouling of the vaporized fuel delivery systems. The discussion includes high pressure vaporized fuel sampling, isolation of C7+ and C14+ hydrocarbon fractions from NGL, and performance validation of fuel processing apparatus. Saudi Aramco operates more than 80 aeroderivative gas turbines (CGT’s), from four manufacturers, to drive crude oil pumps and generate electrical power on the East-West Pipeline that traverses the Arabian Peninsula. Since the pipeline was first commissioned in 1980, the CGT’s have been operated primarily on vaporized C2+ NGL. Although the properties of this C2+ NGL (such as density and heating value) are nearly identical to propane, its use as CGT fuel has presented challenges. Fuel system fouling resulted from the presence of heavy hydrocarbons including residual surface-active compounds derived primarily from corrosion inhibitors and intermittent crude oil carryover. This fouling consisted of hard, epoxy-like deposits coating all manifolds and fuel nozzle passages downstream of the vaporizers. The entire fleet suffered from increased operating and maintenance costs and reduced reliability from plugging of last-chance filters to blocked fuel nozzles. This led to temperature spreads in combustors and hot component damage. High temperature rated coalescing filters were applied successfully in three vaporized NGL fuel system configurations. One fuel system configuration that required even more stringent fuel conditioning was modified to reject approximately 15 percent (heavy ends fraction) of the NGL. Performance tests were conducted to measure the extent to which heavy ends were reduced in the modified fuel vaporizers. Analytical methods were developed to identify and measure heavy hydrocarbons at ppm concentrations. The actual fuel compositions determined analytically agreed with compositions predicted from process simulations.
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Purwar, Anurag, Sagar Anantwar, and Ping Zhao. "An Interactive Approach to Designing Planar Parallel Manipulators Using Image Space Representation." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70880.

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Structure equations of mechanisms are well-known to give rise to algebraic constraint manifolds that describe the space of poses available to a certain link (usually, end-effector or coupler) of open chains or mechanisms. In this paper, by using planar quaternion representation for planar displacements, we obtain constraint manifold of such manipulators and show that the task of dimensional synthesis of a planar parallel manipulator (PPM) is reduced to simple geometric manipulation of the manifold in the Image Space. Earlier, this approach has been shown to work for planar 6R closed chain mechanisms as well as for RRR- and RPR-type leg topologies of a PPM. Here, we complete the extension to other five leg topologies and provide a developer version software tool for dimensional synthesis of a PPM.
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Nelson, Jeremy, Trace Silfies, Brian Crandall, and Jorge Penso. "Review of Life Assessment and Repair Strategies for Hydrogen Reformer Furnace Outlet Header Castings." In ASME 2020 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/pvp2020-21555.

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Abstract Steam methane reforming is the most common method of hydrogen production relevant for plants in the petroleum upgrading, downstream refining, methanol, and ammonia industries. Owner-operators of steam methane reformer furnaces continue to make repair and replacement decisions that involve the cast outlet manifold fittings. One key part of these plans is assessment of the weldability and remaining life of the cast components. The 20Cr-32Ni-1Nb alloy casting materials typically used in the outlet manifolds are usually operated in the low end of their creep temperature range but are subject to metallurgical aging mechanisms which reduce their ductility, weldability, homogeneity, and fracture toughness. This paper covers the practices employed by several owner-users to optimize the lifecycle costs of the outlet manifold castings. These practices include but are not limited to controlled materials specifications, in-situ weldability tests, non-destructive testing in-situ and destructive testing post service, and repair practices such as annealing heat treatments. This paper also includes a limited survey of several owner-users and their fleets of reformer heaters. The details in the survey include the population of affected cast manifold components, alloy grades for the castings and welds, operating temperature ranges, number of startup and shutdown cycles, ranges of time in service, generic design details, and repair case studies. Also discussed are recent improvements in the state of the art for high temperature materials property data-gathering, as well as the structural modeling via Finite Element Methods. These new technologies are opportunities for future work to develop better strategies in the areas of condition assessment, repair planning, and remaining life prediction, taking into account the relevant parameters of installed manifold components, including: specific aging behavior of the casting chemistry, component mechanical design details, as well as the welding and heat treatment parameters during initial fabrication and subsequent maintenance activities.
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Mu¨ller, Andreas. "How Likely is the Variety of Singularities of a Serial Manipulator a Smooth Manifold?" In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28084.

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It is commonly assumed that the singularities of serial manpulators constitute generically smooth manifolds. This assumption has not been proved yet, nor is there an established notion of of genericity. In this paper two different notions of generic properties of forward kinematic mappings are discussed. Serial manipulators are classified according to the type of end-effector motion and feasible manipulator geometries. A sufficient condition for that generically singularities form locally smooth manifolds is presented. This condition admits to separately treat the individual classes. As an example it is shown that the singularities of 3-DOF manipulators form generically smooth manifolds.
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Reports on the topic "Manifolds with ends"

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Yorulmaz, Merve, and Susanne Bührer-Topçu. The impact of Responsible Research and Innovation (RRI). A co-created template with a compilation of the scientific, societal and economic impacts of RRI. Fteval - Austrian Platform for Research and Technology Policy Evaluation, April 2022. http://dx.doi.org/10.22163/fteval.2022.548.

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In this paper, we show how the policy concept Responsible Research and Innovation (RRI) intends to offer added value to scientific research processes and its manifold results and how these anticipated benefits can be measured. We set out to address the recognized challenge of impact monitoring for projects working with RRI by developing a template that can pay attention to the so far hardly considered outputs, outcomes and impacts of a particular RRI project. Its usage goes beyond monitoring and evaluating purposes at the end of a project, as our proposed set of indicators can provide scholars and practitioners with guidance and inspiration in the early design or implementation phase of a project. From a policy-making point of view, this paper also highlights that developing monitoring and evaluation systems can significantly profit from stakeholder engagement and co-creation approaches, adding a bottom-up perspective to top-down suggestions of the research funders.
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