Дисертації з теми "Metric geometry of singularities"
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Oudrane, M'hammed. "Projections régulières, structure de Lipschitz des ensembles définissables et faisceaux de Sobolev." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4034.
Повний текст джерелаIn this thesis we address questions around the metric structure of definable sets in o-minimal structures. In the first part we study regular projections in the sense of Mostowski, we prove that these projections exists only for polynomially bounded structures, we use regular projections to re perform Parusinski's proof of the existence of regular covers. In the second part of this thesis, we study Sobolev sheaves (in the sense of Lebeau). For Sobolev functions of positive integer regularity, we construct these sheaves on the definable site of a surface based on basic observations of definable domains in the plane
Lebl, Jiří́. "Singularities and Complexity in CR Geometry." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2007. http://wwwlib.umi.com/cr/ucsd/fullcit?p3254327.
Повний текст джерелаTitle from first page of PDF file (viewed May 2, 2007). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 101-104).
Ronaldson, Luke James. "The geometry of weak gravitational singularities." Thesis, University of Southampton, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.485292.
Повний текст джерелаCoffey, Michael R. "Ricci flow and metric geometry." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/67924/.
Повний текст джерелаvan, Staden Wernd Jakobus. "Metric aspects of noncommutative geometry." Diss., University of Pretoria, 2019. http://hdl.handle.net/2263/77893.
Повний текст джерелаDissertation (MSc)--University of Pretoria, 2019.
Physics
MSc
Unrestricted
Mangalath, Vishnu. "Singularities of Whitham Deformations." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/25990.
Повний текст джерелаPalmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.
Повний текст джерелаJägrell, Linus. "Geometry of the Lunin-Maldacena metric." Thesis, KTH, Teoretisk fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-153502.
Повний текст джерелаMilicevic, Luka. "Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/273375.
Повний текст джерелаPersson, Nicklas. "Shortest paths and geodesics in metric spaces." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-66732.
Повний текст джерелаSuleymanova, Asilya. "On the spectral geometry of manifolds with conic singularities." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18420.
Повний текст джерелаWe derive a detailed asymptotic expansion of the heat trace for the Laplace-Beltrami operator on functions on manifolds with one conic singularity, using the Singular Asymptotics Lemma of Jochen Bruening and Robert T. Seeley. Then we investigate how the terms in the expansion reflect the geometry of the manifold. Since the general expansion contains a logarithmic term, its vanishing is a necessary condition for smoothness of the manifold. It is shown in the paper by Bruening and Seeley that in the two-dimensional case this implies that the constant term of the expansion contains a non-local term that determines the length of the (circular) cross section and vanishes precisely if this length equals $2\pi$, that is, in the smooth case. We proceed to the study of higher dimensions. In the four-dimensional case, the logarithmic term in the expansion vanishes precisely when the cross section is a spherical space form, and we expect that the vanishing of a further singular term will imply again smoothness, but this is not yet clear beyond the case of cyclic space forms. In higher dimensions the situation is naturally more difficult. We illustrate this in the case of cross sections with constant curvature. Then the logarithmic term becomes a polynomial in the curvature with roots that are different from 1, which necessitates more vanishing of other terms, not isolated so far.
Li, Xining. "Preservation of bounded geometry under transformations metric spaces." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439309722.
Повний текст джерелаPALMISANO, Vincenzo. "Topics in calculus and geometry on metric spaces." Doctoral thesis, Università degli Studi di Palermo, 2022. https://hdl.handle.net/10447/554772.
Повний текст джерелаLübbe, Christian. "An extension theorem for conformal gauge singularities." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670177.
Повний текст джерелаWitt, Frederik. "Special metric structures and closed forms." Thesis, University of Oxford, 2005. http://ora.ox.ac.uk/objects/uuid:30b7a34b-cc46-4981-aee5-964787c1235e.
Повний текст джерелаKourliouros, Konstantinos. "Boundary singularities of functions in symplectic and volume-preserving geometry." Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/32268.
Повний текст джерелаLopez, Marcos D. "Discrete Approximations of Metric Measure Spaces with Controlled Geometry." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1439305529.
Повний текст джерелаLuo, Ye. "Linear systems on metric graphs and some applications to tropical geometry and non-archimedean geometry." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/52323.
Повний текст джерелаAlekseevsky, Dmitri, Andreas Kriegl, Mark Losik, Peter W. Michor, and Peter Michor@esi ac at. "The Riemannian Geometry of Orbit Spaces. The Metric, Geodesics, and." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi997.ps.
Повний текст джерелаIvrii, Oleg. "The Geometry of the Weil-Petersson Metric in Complex Dynamics." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11669.
Повний текст джерелаMathematics
Son, Do Nguyen. "McKay quivers and the deformation and resolution theory of kleinen singularities." Bonn : Mathematisches Institut der Universität, 2005. http://catalog.hathitrust.org/api/volumes/oclc/65375195.html.
Повний текст джерелаJulian, Poranee K. "Geometric Properties of the Ferrand Metric." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1353088820.
Повний текст джерелаGaleotti, Mattia Francesco. "Moduli of curves with principal and spin bundles : singularities and global geometry." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066485/document.
Повний текст джерелаThe moduli space Mgbar of genus g stable curves is a central object in algebraic geometry. From the point of view of birational geometry, it is natural to ask if Mgbar is of general type. Harris-Mumford and Eisenbud-Harris found that Mgbar is of general type for genus g>=24 and g=22. The case g=23 keep being mysterious. In the last decade, in an attempt to clarify this, a new approach emerged: the idea is to consider finite covers of Mgbar that are moduli spaces of stable curves equipped with additional structure as l-covers (l-th roots of the trivial bundle) or l-spin bundles (l-th roots of the canonical bundle). These spaces have the property that the transition to general type happens to a lower genus. In this work we intend to generalize this approach in two ways: - a study of moduli space of curves with any root of any power of the canonical bundle; - a study of the moduli space of curves with G-covers for any finite group G. In order to define these moduli spaces we use the notion of twisted curve (see Abramovich-Corti-Vistoli). The fundamental result obtained is that it is possible to describe the singular locus of these moduli spaces via the notion of dual graph of a curve. Thanks to this analysis, we are able to develop calculations on the tautological rings of the spaces, and in particular we conjecture that the moduli space of curves with S3-covers is of general type for odd genus g>=13
Belotto, Da Silva André Ricardo. "Resolution of singularities in foliated spaces." Phd thesis, Université de Haute Alsace - Mulhouse, 2013. http://tel.archives-ouvertes.fr/tel-00909798.
Повний текст джерелаAntonakoudis, Stergios M. "The complex geometry of Teichmüller space." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11637.
Повний текст джерелаMathematics
Krylov, Igor. "Birational geometry of Fano fibrations." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28857.
Повний текст джерелаLiu, Stephen Shang Yi. "On the Asymptotic Behavior of the Magnitude Function for Odd-dimensional Euclidean Balls." Case Western Reserve University School of Graduate Studies / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=case1585399513964864.
Повний текст джерелаMontcouquiol, Grégoire. "Déformations de métriques Einstein sur des variétés à singularités coniques." Toulouse 3, 2005. http://www.theses.fr/2005TOU30205.
Повний текст джерелаStarting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the metric in order to get Einstein cone-manifolds. If the singular locus is a closed codimension 2 submanifold and all cone angles are smaller than 2pi, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles. This result can be interpreted as a higher-dimensional case of the celebrated Hodgson and Kerckhoff's theorem on deformations of hyperbolic 3-cone-manifolds. If all cone angles are smaller than pi, we also give a construction which associates to any variation of the angles a corresponding infinitesimal Einstein deformation
Russell, Neil Eric. "Aspects of the symplectic and metric geometry of classical and quantum physics." Thesis, Rhodes University, 1993. http://hdl.handle.net/10962/d1005237.
Повний текст джерелаWelly, Adam. "The Geometry of quasi-Sasaki Manifolds." Thesis, University of Oregon, 2016. http://hdl.handle.net/1794/20466.
Повний текст джерелаSARACCO, FABIO. "Patching up II A singularities." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/40053.
Повний текст джерелаStClair, Jessica Lindsey. "Geometry of Spaces of Planar Quadrilaterals." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26887.
Повний текст джерелаPh. D.
Yoshino, Masaki. "An L²‐index formula for monopoles with Dirac-type singularities." Kyoto University, 2020. http://hdl.handle.net/2433/253069.
Повний текст джерелаFankhänel, Andreas. "Metrical Problems in Minkowski Geometry." Doctoral thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-95007.
Повний текст джерелаYu, Jianming. "Kombinatorische Geometrie der Stokesregionen." Bonn : [s.n.], 1990. http://catalog.hathitrust.org/api/volumes/oclc/23006551.html.
Повний текст джерелаLe, Thanh Tam. "Geometry-Aware Learning Algorithms for Histogram Data Using Adaptive Metric Embeddings and Kernel Functions." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/204594.
Повний текст джерела0048
新制・課程博士
博士(情報学)
甲第19417号
情博第596号
新制||情||104(附属図書館)
32442
京都大学大学院情報学研究科知能情報学専攻
(主査)教授 山本 章博, 教授 黒橋 禎夫, 教授 鹿島 久嗣, 准教授 Cuturi Marco
学位規則第4条第1項該当
Lapp, Frank. "An index theorem for operators with horn singularities." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16838.
Повний текст джерелаThe closed extensions of geometric operators (Spin-Dirac, Gauss-Bonnet and Signature operator) on a manifold with metric horns are Fredholm operators, and their indices were computed by Matthias Lesch, Norbert Peyerimhoff and Jochen Brüning. It was shown that the restrictions of all three operators to a punctured neighbourhood of the singular point are unitary equivalent to a class of irregular singular operator-valued differential operators of first order. The solution operators of the corresponding differential equations defined a parametrix which was applied to prove the Fredholm property. In this thesis a class of irregular singular differential operators of first order - called horn operators - is introduced that extends the examples mentioned above. It is proved that an elliptic differential operator of first order whose restriction to the neighbourhood of the singular point is unitary equivalent to a horn operator is Fredholm and its index is computed. Finally, this abstract index theorem is applied to compute the indices of geometric operators on manifolds with multiply warped product singularities that extend the notion of metric horns considerably.
Le, Brigant Alice. "Probability on the spaces of curves and the associated metric spaces via information geometry; radar applications." Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0640/document.
Повний текст джерелаWe are concerned with the comparison of the shapes of open smooth curves that take their values in a Riemannian manifold M. To this end, we introduce a reparameterization invariant Riemannian metric on the infinite-dimensional manifold of these curves, modeled by smooth immersions in M. We derive the geodesic equation and solve the boundary value problem using geodesic shooting. The quotient structure induced by the action of the reparametrization group on the space of curves is studied. Using a canonical decomposition of a path in a principal bundle, we propose an algorithm that computes the horizontal geodesic between two curves and yields an optimal matching. In a second step, restricting to base manifolds of constant sectional curvature, we introduce a detailed discretization of the Riemannian structure on the space of smooth curves, which is itself a Riemannian metric on the finite-dimensional manifold Mn+1 of "discrete curves" given by n + 1 points. We show the convergence of the discrete model to the continuous model, and study the induced geometry. We show results of simulations in the sphere, the plane, and the hyperbolic halfplane. Finally, we give the necessary framework to apply shape analysis of manifold-valued curves to radar signal processing, where locally stationary radar signals are represented by curves in the Poincaré polydisk using information geometry
Ouwehand, David. "Local rigid cohomology of weighted homogeneous hypersurface singularities." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://dx.doi.org/10.18452/17732.
Повний текст джерелаThe goal of this thesis is to study a certain invariant of isolated singularities over a base field k of positive characteristic. This invariant is called the local rigid cohomology. For a singular point x \in X on a k-scheme, the i-th local rigid cohomology is defined as H^i_{rig, {x}}(X), the i-th rigid cohomology of X with supports in the subset {x}. In chapter 2 we show that the local rigid cohomology is indeed an invariant. That is: if x'' \in X'' and x \in X are contact-equivalent singularities on k-schemes, then the local rigid cohomology spaces H_{rig, {x}}(X) and H_{rig, {x''}}(X'') are isomorphic. The isomorphism that we construct is moreover compatible with the Frobenius action on rigid cohomology. In chapters 3 and 4 we focus our attention on weighted homogeneous hypersurface singularities. Our goal in chapter 3 is to show that for such a singularity, the local rigid cohomology may be identified with the G-invariants of a certain rigid cohomology space $H_{rig}(\Proj^{n-1}_k \setminus \widetilde{S}_{\infty}). Here \widetilde{S}_{\infty} \subset \Proj^{n-1}_k is a smooth projective hypersurface, and G is a certain finite group acting on the rigid cohomology of its complement. It is known that the rigid cohomology of a smooth projective hypersurface is amenable to direct computation. Indeed, an algorithm by Abbott, Kedlaya and Roe allows one to approximate the Frobenius on such a rigid cohomology space. In chapter 4 we will modify this algorithm to deal with the G-invariant part of cohomology. The modified algorithm can be formulated entirely in terms of weighted homogeneous polynomials, which seems natural for our applications. Chapter 5 is a collection of conjectures and open problems that are related to the earlier chapters.
Suleymanova, Asilya [Verfasser], Jochen [Gutachter] Bruening, Julie [Gutachter] Rowlett, and Klaus [Gutachter] Kirsten. "On the spectral geometry of manifolds with conic singularities / Asilya Suleymanova ; Gutachter: Jochen Bruening, Julie Rowlett, Klaus Kirsten." Berlin : Humboldt-Universität zu Berlin, 2017. http://d-nb.info/1185579370/34.
Повний текст джерелаLesser, Alice. "Optimal and Hereditarily Optimal Realizations of Metric Spaces." Doctoral thesis, Uppsala University, Department of Mathematics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8297.
Повний текст джерелаThis PhD thesis, consisting of an introduction, four papers, and some supplementary results, studies the problem of finding an optimal realization of a given finite metric space: a weighted graph which preserves the metric's distances and has minimal total edge weight. This problem is known to be NP-hard, and solutions are not necessarily unique.
It has been conjectured that extremally weighted optimal realizations may be found as subgraphs of the hereditarily optimal realization Γd, a graph which in general has a higher total edge weight than the optimal realization but has the advantages of being unique, and possible to construct explicitly via the tight span of the metric.
In Paper I, we prove that the graph Γd is equivalent to the 1-skeleton of the tight span precisely when the metric considered is totally split-decomposable. For the subset of totally split-decomposable metrics known as consistent metrics this implies that Γd is isomorphic to the easily constructed Buneman graph.
In Paper II, we show that for any metric on at most five points, any optimal realization can be found as a subgraph of Γd.
In Paper III we provide a series of counterexamples; metrics for which there exist extremally weighted optimal realizations which are not subgraphs of Γd. However, for these examples there also exists at least one optimal realization which is a subgraph.
Finally, Paper IV examines a weakened conjecture suggested by the above counterexamples: can we always find some optimal realization as a subgraph in Γd? Defining extremal optimal realizations as those having the maximum possible number of shortest paths, we prove that any embedding of the vertices of an extremal optimal realization into Γd is injective. Moreover, we prove that this weakened conjecture holds for the subset of consistent metrics which have a 2-dimensional tight span
Prandi, Dario. "Geometry and analysis of control-affine systems: motion planning, heat and Schrödinger evolution." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3913.
Повний текст джерелаImagi, Yohsuke. "Surjectivity of a Gluing for Stable T2-cones in Special Lagrangian Geometry." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/189337.
Повний текст джерелаSimsir, Muazzez Fatma. "Conformal Vector Fields With Respect To The Sasaki Metric Tensor Field." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12605857/index.pdf.
Повний текст джерелаSaha, Abhijoy. "A Geometric Framework for Modeling and Inference using the Nonparametric Fisher–Rao metric." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1562679374833421.
Повний текст джерелаWells, Clive Gene. "The application of differential geometry to classical and quantum gravity." Thesis, University of Cambridge, 1999. https://www.repository.cam.ac.uk/handle/1810/283187.
Повний текст джерелаWink, Matthias. "Ricci solitons and geometric analysis." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:3aae2c5e-58aa-42da-9a1b-ec15cacafdad.
Повний текст джерелаTewodrose, David. "Some functional inequalities and spectral properties of metric measure spaces with curvature bounded below." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/85734.
Повний текст джерелаEnders, Joerg. "Generalizations of the reduced distance in the Ricci flow - monotonicity and applications." Diss., Connect to online resource - MSU authorized users, 2008.
Знайти повний текст джерелаat, Andreas Cap@esi ac. "Parabolic Geometries, CR-Tractors, and the Fefferman Construction." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1084.ps.
Повний текст джерела