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Relevant bibliographies by topics / Three-manifolds

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Academic literature on the topic 'Three-manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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Journal articles on the topic "Three-manifolds"

1

Mednykh, A. D. "Three-dimensional hyperelliptic manifolds." Annals of Global Analysis and Geometry 8, no. 1 (1990): 13–19. http://dx.doi.org/10.1007/bf00055015.

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Matveev, S. V. "Three-manifolds. Classical results." Journal of Mathematical Sciences 74, no. 1 (1995): 834–60. http://dx.doi.org/10.1007/bf02362845.

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SONG, YI, and STEPHEN P. BANKS. "DYNAMICAL SYSTEMS ON THREE MANIFOLDS PART II: THREE-MANIFOLDS, HEEGAARD SPLITTINGS AND THREE-DIMENSIONAL SYSTEMS." International Journal of Bifurcation and Chaos 17, no. 06 (2007): 2085–95. http://dx.doi.org/10.1142/s0218127407018233.

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The global behavior of nonlinear systems is extremely important in control and systems theory since the usual local theories will only provide information about a system in some neighborhood of an operating point. Away from that point, the system may have totally different behavior and so the theory developed for the local system will be useless for the global one. In this paper we shall consider the analytical and topological structure of systems on two- and three-manifolds and show that it is possible to obtain systems with "arbitrarily strange" behavior, i.e. arbitrary numbers of chaotic regimes which are knotted and linked in arbitrary ways. We shall do this by considering Heegaard Splittings of these manifolds and the resulting systems defined on the boundaries.

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Gordeeva, I. A., and S. E. Stepanov. "Three classes of Weitzenböck manifolds." Russian Mathematics 56, no. 1 (2011): 83–85. http://dx.doi.org/10.3103/s1066369x12010136.

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Gómez-Larrañaga, José Carlos, Francisco González-Acuña, and Wolfgang Heil. "Amenable category of three–manifolds." Algebraic & Geometric Topology 13, no. 2 (2013): 905–25. http://dx.doi.org/10.2140/agt.2013.13.905.

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CHO, JONG TAEK, and DONG-HEE YANG. "CONFORMALLY FLAT CONTACT THREE-MANIFOLDS." Journal of the Australian Mathematical Society 103, no. 2 (2016): 177–89. http://dx.doi.org/10.1017/s1446788716000471.

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In this paper, we consider contact metric three-manifolds $(M;\unicode[STIX]{x1D702},g,\unicode[STIX]{x1D711},\unicode[STIX]{x1D709})$ which satisfy the condition $\unicode[STIX]{x1D6FB}_{\unicode[STIX]{x1D709}}h=\unicode[STIX]{x1D707}h\unicode[STIX]{x1D711}+\unicode[STIX]{x1D708}h$ for some smooth functions $\unicode[STIX]{x1D707}$ and $\unicode[STIX]{x1D708}$, where $2h=\unicode[STIX]{x00A3}_{\unicode[STIX]{x1D709}}\unicode[STIX]{x1D711}$. We prove that if $M$ is conformally flat and if $\unicode[STIX]{x1D707}$ is constant, then $M$ is either a flat manifold or a Sasakian manifold of constant curvature $+1$. We cannot extend this result for a smooth function $\unicode[STIX]{x1D707}$. Indeed, we give such an example of a conformally flat contact three-manifold which is not of constant curvature.

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Singerman, D. "CLASSICAL TESSELLATIONS AND THREE-MANIFOLDS." Bulletin of the London Mathematical Society 21, no. 3 (1989): 292–93. http://dx.doi.org/10.1112/blms/21.3.292.

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Fischer, Werner. "Classical Tessellations and Three-Manifolds." Zeitschrift für Kristallographie 189, no. 1-2 (1989): 155. http://dx.doi.org/10.1524/zkri.1989.189.1-2.155.

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Matveev, S. V. "Tabulation of three-dimensional manifolds." Russian Mathematical Surveys 60, no. 4 (2005): 673–98. http://dx.doi.org/10.1070/rm2005v060n04abeh003673.

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Matveev, Sergei V. "Computer Recognition of Three-Manifolds." Experimental Mathematics 7, no. 2 (1998): 153–61. http://dx.doi.org/10.1080/10586458.1998.10504365.

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Dissertations / Theses on the topic "Three-manifolds"

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Mijatović, Aleksandar. "Triangulations of three-manifolds." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619611.

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Newman-Gomez, Sharon Angela. "State sum invariants of three manifolds." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1510.

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Cremaschi, Tommaso. "Hyperbolic 3-manifolds of infinite type:." Thesis, Boston College, 2019. http://hdl.handle.net/2345/bc-ir:108468.

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Thesis advisor: Ian Biringer<br>In this thesis we study the class of 3-manifolds that admit a compact exhaustion by hyperbolizable 3-manifolds with incompressible boundary and such that the genus of the boundary components of the elements in the exhaustion is uniformly bounded. For this class we give necessary and sufficient topological conditions that guarantee the existence of a complete hyperbolic metric<br>Thesis (PhD) — Boston College, 2019<br>Submitted to: Boston College. Graduate School of Arts and Sciences<br>Discipline: Mathematics

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Wang, Bai-Ling. "Seiberg-Witten monopoles on three-manifolds /." Title page, abstract and contents only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phw2455.pdf.

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Howards, Hugh Nelson. "Curves and surfaces in three-manifolds /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 1997. http://wwwlib.umi.com/cr/ucsd/fullcit?p9732691.

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Braam, Peter J. "Magnetic monopoles and hyperbolic three-manifolds." Thesis, University of Oxford, 1987. http://ora.ox.ac.uk/objects/uuid:daa73d43-6d58-404c-9926-ebf23f59cfc6.

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Let M = H<sup>3</sup>/Γ be a complete, non-compact, oriented geometrically finite hyperbolic 3-manifold without cusps. By constructing a conformal compactification of M x S<sup>1</sup> we functorially associate to M an oriented, conformally flat, compact 4-manifold X (without boundary) with an S<sup>1</sup>-action. X determines M as a hyperbolic manifold. Using our functor and the differential geometry of conformally flat 4-manifolds we prove that any Γ as above with a limit set of Hausdorff dimension ≤ 1 is Schottky, Fuchsian or extended Fuchsian. Furthermore, the Hodge theory for H<sup>2</sup> (X;R) carries over to H<sup>1</sup>(M, δM;R) and H<sup>2</sup>(M;R) which correspond to the spaces of harmonic L<sup>2</sup>-forms of degree 1 and 2 on M. Comparison of lattices through the Hodge star gives an invariant h(M) ε GL(H<sup>2</sup>(M;R)/GL(H<sup>2</sup>(M;Z)) of the hyperbolic structure. Secondly we pay attention to magnetic monopoles on M which correspond to S<sup>1</sup>invariant solutions of the anti-self-duality equations on X. The basic result is that we associate to M an infinite collection of moduli spaces of monopoles , labelled by boundary conditions. We prove that the moduli spaces are not empty (under reasonable conditions), compute their dimension , prove orientability , the existence of a compactification and smoothness for generic S<sup>1</sup>-invariant conformal structures on X. For these results one doesn't need a hyperbolic structure on M , the existence of a conformal compactification X suffices. A twistor description for monopoles on a hyperbolic M can be given through the twistor space of X , and monopoles turn out to correspond to invariant holomorphic bundles on twistor space. We analyse these bundles. Explicit formulas for monopoles can be found on handlebodies M , and for M = surface x R we describe the moduli spaces in some detail.

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Haynes, Elizabeth Lydia. "Smale Flows on Three Dimensional Manifolds." OpenSIUC, 2012. https://opensiuc.lib.siu.edu/dissertations/470.

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We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S3? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S3? This dissertation extends the work of M. Sullivan and B. Yu.

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Breinlinger, Keith J. (Keith Joseph) 1974. "Three-dimensional routed manifolds with externally inserted cables." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29624.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2003.<br>Includes bibliographical references (p. 253-259).<br>The Automatic Test Equipment industry must maintain a tester accuracy of roughly one tenth the pulsewidth of the device under test (DUT). Funneling a vast number of electrical signals into a very tiny area to contact the DUT while still maintaining good signal fidelity is a problem not only in the ATE industry, but also for personal computers, network servers and supercomputers. As the speed of processors increase, ATE companies must find new ways to achieve the required accuracy. A solution to this problem is investigated whereby a large number of semi-rigid coaxial wires are routed in 3D space from a low-density array (the tester side) to a high-density array (the DUT side). The three dimensional paths are subject to bend constraints and cannot intersect with any other paths. A software program has been written and tested that is able to find solutions to this 3D routing problem for many test cases. For relatively simple test cases with less than 15 wires, solutions can typically be found in under a minute. Once the geometries of the paths are determined, a block is made with 3D tunnels transversing through it. This part is created using a 3D additive process (e.g. stereolithography), and the coaxial wires are pushed into each tunnel. The maximum force used to insert a wire into a tunnel is limited by the force at which buckling occurs. Uncontrolled buckling of the coaxial wire will compromise electrical signal fidelity or cause opens and must therefore be prevented. To this end, models have been developed to predict the force required to push wires into a predetermined path. Relatively good experimental agreement, within 20% in many cases, was achieved for paths with radii of curvature to wire diameter ratios between 200:1 and 10:1. A perfectly elastic beam model is developed as well as an elastic-plastic beam model.<br>(cont.) Additional models are developed which account for the friction and the effect of clearance between the tunnel and the beam. The model is used to guide the routing software such that no path is created that cannot have a wire inserted into it. The solution proposed provides an excellent alternative to a printed circuit board for high speed electrical signals. The general method of using additive manufacturing to create tunnels to guide signal opens up many possibilities for not just coaxial cables, but fluid piping, optical fibers and solid wires. The solution has many further advantages and applications that are reviewed briefly but have not been investigated.<br>by Keith J. Breinlinger.<br>Ph.D.

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Adhikari, Kamal Mani. "Realizations of simple Smale flows on three-manifolds." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/dissertations/1250.

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In this dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work done by M. Sullivan on realizing Lorenz Smale flows on 3-manifolds, by Bin Yu on realizing Lorenz-like Smale flows on 3-manifolds and continues the work of Elizabeth Haynes and Michael Sullivan on realizing simple Smale flows with a four-band template on a 3-sphere. The four-band template we use in this dissertation is different from the template used by Haynes and Sullivan.

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Alcaraz, Karin. "The Alexander polynomial of closed 3-manifolds." Thesis, University of Oxford, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.564280.

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Books on the topic "Three-manifolds"

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2007.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2007.

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Kronheimer, P. B. Monopoles and three-manifolds. Cambridge University Press, 2011.

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Classical tessellations and three-manifolds. Springer-Verlag, 1987.

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Montesinos-Amilibia, José María. Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6.

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Cooper, Daryl. Three-dimensional orbifolds and cone-manifolds. Mathematical Society of Japan, 2000.

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Cooper, Daryl. Three-dimensional orbifolds and cone-manifolds. Mathematical Society of Japan, 2000.

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W, Reid Alan, ed. The arithmetic of hyperbolic three-manifolds. Springer, 2003.

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Fomenko, A. T. Algorithmic and computer methods for three-manifolds. Kluwer Academic, 1997.

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Topology and combinatorics of 3-manifolds. Springer-Verlag, 1995.

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Book chapters on the topic "Three-manifolds"

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Stillwell, John. "Three-Dimensional Manifolds." In Graduate Texts in Mathematics. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-4372-4_9.

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Montesinos-Amilibia, José María. "Seifert Manifolds." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_4.

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Montesinos-Amilibia, José María. "Manifolds of Spherical Tessellations." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_3.

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Montesinos-Amilibia, José María. "Manifolds of Hyperbolic Tessellations." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_5.

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Colding, Tobias, and William Minicozzi. "Minimal surfaces in three-manifolds." In A Course in Minimal Surfaces. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/121/07.

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Marcolli, Matilde. "Seiberg—Witten on three-manifolds." In Texts and Readings in Mathematics. Hindustan Book Agency, 1999. http://dx.doi.org/10.1007/978-93-86279-00-2_3.

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Fomenko, A. T., and S. V. Matveev. "Seifert Manifolds." In Algorithmic and Computer Methods for Three-Manifolds. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-0699-5_10.

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Montesinos-Amilibia, José María. "S1-Bundles Over Surfaces." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_1.

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Montesinos-Amilibia, José María. "Manifolds of Tessellations on the Euclidean Plane." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_2.

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Montesinos-Amilibia, José María. "Errata." In Classical Tessellations and Three-Manifolds. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61572-6_6.

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Conference papers on the topic "Three-manifolds"

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KRONHEIMER, PETER B., and TOMASZ S. MROWKA. "KNOTS, THREE-MANIFOLDS AND INSTANTONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0024.

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Gilmer, Patrick M. "Quantum invariants of periodic three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.157.

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Kauffman, Louis H. "Right integrals and invariants of three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.215.

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Gunn, Charlie. "Discrete groups and visualization of three-dimensional manifolds." In the 20th annual conference. ACM Press, 1993. http://dx.doi.org/10.1145/166117.166150.

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Rubinstein, J. Hyam, and Martin Scharlemann. "Genus two Heegaard splittings of orientable three-manifolds." In Low Dimensional Topology -- The Kirbyfest. Mathematical Sciences Publishers, 1999. http://dx.doi.org/10.2140/gtm.1999.2.489.

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de La Rosa Siqueira, Cesareo, Martin Poulsen Kessler, Rafael Rampazzo, and Denilson A. Cardoso. "Three-dimensional Numerical Analysis of Flow inside Exhaust Manifolds." In 2006 SAE Brasil Congress and Exhibit. SAE International, 2006. http://dx.doi.org/10.4271/2006-01-2623.

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Fabbri, Davide. "Three dimensional Conformal Field Theories from Sasakian seven-manifolds." In Quantum aspects of gauge theories, supersymmetry and unification. Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.004.0015.

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Tian, G., та S. T. Yau. "Three dimensional algebraic manifolds with C1 = 0 and χ = −6". У Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0026.

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MANEV, M., K. GRIBACHEV, and D. MEKEROV. "ON THREE-PARAMETRIC LIE GROUPS AS QUASI-KÄHLER MANIFOLDS WITH KILLING NORDEN METRIC." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0022.

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GÓMEZ, G., W. S. KOON, M. W. LO, J. E. MARSDEN, J. J. MASDEMONT, and S. D. ROSS. "INVARIANT MANIFOLDS, THE SPATIAL THREE-BODY PROBLEM AND PETIT GRAND TOUR OF JOVIAN MOONS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704849_0025.

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Reports on the topic "Three-manifolds"

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Nakova, Galia. Curvature Properties of Some Three-Dimentional Almost Contact Manifolds with B-Metric II. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-169-177.

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Fetcu, Dorel. Integral Submanifolds in Three-Sasakian Manifolds Whose Mean Curvature Vector Fields are Eigenvectors of the Laplace Operator. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-210-223.

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