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Dissertations / Theses on the topic 'Riemannian spaces'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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1

Palmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does n
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2

Kashani, S. M. B. "Isoparametric submanifolds in pseudo-Riemannian spaces." Thesis, University of Leeds, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383957.

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3

Osipova, Daria. "Symmetric submanifolds in symmetric spaces." Thesis, University of Hull, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342976.

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4

Yang, An. "Vector valued Poisson transforms on Riemannian symmetric spaces." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/33511.

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5

Araujo, Fatima. "Einstein homogeneous Riemannian fibrations." Thesis, University of Edinburgh, 2008. http://hdl.handle.net/1842/4375.

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This thesis is dedicated to the study of the existence of homogeneous Einstein metrics on the total space of homogeneous fibrations such that the fibers are totally geodesic manifolds. We obtain the Ricci curvature of an invariant metric with totally geodesic fibers and some necessary conditions for the existence of Einstein metrics with totally geodesic fibers in terms of Casimir operators. Some particular cases are studied, for instance, for normal base or fiber, symmetric fiber, Einstein base or fiber, for which the Einstein equations are manageable. We investigate the existence of such Ein
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6

Becker, Christian. "On the Riemannian geometry of Seiberg-Witten moduli spaces." Phd thesis, [S.l. : s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=975744771.

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7

Gentile, Alessandro. "Geodesics and horizontal-path spaces in sub-Riemannian geometry." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3901.

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8

Christiansen, Tom. "Stochastic calculus in Riemannian polyhedra and martingales in metric spaces." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=983734232.

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9

Alekseevsky, 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.

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10

Lundmark, Hans. "Newton systems of cofactor type in Euclidean and Riemannian spaces /." Linköping : Univ, 2001. http://www.bibl.liu.se/liupubl/disp/disp2001/tek719s.pdf.

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11

Persson, 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.

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This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. Here both a classical approach to Riemannian geometry will be given together with specic results when considered as a metric space. In the third part, the Finsler geometry will be examined both with a classical approach and trying to deal with it as a metric space.
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12

Bahuaud, Eric. "Intrinsic characterization of asymptotically hyperbolic metrics /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/5781.

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13

García, Pérez Ana Karla [Verfasser], and W. [Akademischer Betreuer] Tuschmann. "Spaces and Moduli Spaces of Flat Riemannian Metrics on Closed Manifolds / Ana Karla García Pérez ; Betreuer: W. Tuschmann." Karlsruhe : KIT-Bibliothek, 2020. http://d-nb.info/1203211945/34.

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14

Effland, Alexander [Verfasser]. "Discrete Riemannian Calculus and A Posteriori Error Control on Shape Spaces / Alexander Effland." Bonn : Universitäts- und Landesbibliothek Bonn, 2018. http://d-nb.info/1150777796/34.

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15

StClair, Jessica Lindsey. "Geometry of Spaces of Planar Quadrilaterals." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/26887.

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The purpose of this dissertation is to investigate the geometry of spaces of planar quadrilaterals. The topology of moduli spaces of planar quadrilaterals (the set of all distinct planar quadrilaterals with fixed side lengths) has been well-studied [5], [8], [10]. The symplectic geometry of these spaces has been studied by Kapovich and Millson [6], but the Riemannian geometry of these spaces has not been thoroughly examined. We study paths in the moduli space and the pre-moduli space. We compare intraplanar paths between points in the moduli space to extraplanar paths between those same points
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16

Renesse, Max-K. von. "Comparison properties of diffusion semigroups on spaces with lower curvature bounds." Bonn : Mathematisches Institut der Universität Bonn, 2003. http://catalog.hathitrust.org/api/volumes/oclc/52348149.html.

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17

Wang, Jing. "Sub-Riemannian heat kernels on model spaces and curvature-dimension inequalities on contact manifolds." Thesis, Purdue University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3636683.

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<p>This dissertation contains two research directions. In the first direction, we deduce explicit expressions of the subelliptic heat kernels on three sub-Riemannian model spaces: the Cauchy-Riemann sphere, the anti-de Sitter space and the Quaternionic sphere. From these explicit subelliptic heat kernels we then derive several by products: the Green function of the conformal sub-Laplacian, the small-time estimates of the subel- liptic heat kernels, and the sub-Riemannian distance. The key point is to work in cylindrical coordinates that reflect the symmetries coming from the Hopf fibration of
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18

JÃnior, Eraldo Almeida Lima. "Uniqueness for hypersurfaces immersed on riemannian and lorentzian spaces: results, examples and counter-examples." Universidade Federal do CearÃ, 2015. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14590.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>In this work we present uniqueness results for constant mean curvature hypersurfaces in Riemannian and Lorentzian products. We dealt with product whose fiber has sectional curvature bounded from below. We considered a certain control in the norm of the gradient of the height function by the norm of the second fundamental form in order to obtain that such a surface is slice. We also obtained uniqueness through integrability conditions in the gradient of the height funct
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19

Nobis, Vera [Verfasser], Olaf [Akademischer Betreuer] Wittich, and Hartmut [Akademischer Betreuer] Führ. "Surface measures on path spaces of riemannian manifolds / Vera Nobis ; Olaf Wittich, Hartmut Führ." Aachen : Universitätsbibliothek der RWTH Aachen, 2019. http://d-nb.info/121586566X/34.

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20

Nobis, Vera Verfasser], Olaf [Akademischer Betreuer] [Wittich, and Hartmut [Akademischer Betreuer] Führ. "Surface measures on path spaces of riemannian manifolds / Vera Nobis ; Olaf Wittich, Hartmut Führ." Aachen : Universitätsbibliothek der RWTH Aachen, 2019. http://d-nb.info/121586566X/34.

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21

Polthier, Konrad. "Geometric a priori estimates for hyperbolic minimal surfaces." Bonn : [s.n.], 1994. http://catalog.hathitrust.org/api/volumes/oclc/31760536.html.

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22

Bihun, Oksana Chicone Carmen Charles. "Approximate isometries and distortion energy functionals." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6129.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb. 11, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Carmen Chicone. Vita. Includes bibliographical references.
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23

Frost, George. "The projective parabolic geometry of Riemannian, Kähler and quaternion-Kähler metrics." Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.690742.

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We present a uniform framework generalising and extending the classical theories of projective differential geometry, c-projective geometry, and almost quaternionic geometry. Such geometries, which we call \emph{projective parabolic geometries}, are abelian parabolic geometries whose flat model is an R-space $G\cdot\mathfrak{p}$ in the infinitesimal isotropy representation $\mathbb{W}$ of a larger self-dual symmetric R-space $H\cdot\mathfrak{q}$. We also give a classification of projective parabolic geometries with $H\cdot\mathfrak{q}$ irreducible which, in addition to the aforementioned class
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24

The, Dennis. "Invariant gauge fields over non-reductive spaces and contact geometry of hyperbolic equations of generic type." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=115905.

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In this thesis, we study two problems focusing on the interplay between geometric properties of differential equations and their invariants.<br>For the first project, we study the validity of the principle of symmetric criticality (PSC) in the context of invariant gauge fields over the four-dimensional non-reductive pseudo-Riemannian homogeneous spaces G/K recently classified by Fels & Renner (2006). Given H compact semi-simple, classification results are obtained for principal H-bundles over G/K admitting: (1) a G-action (by bundle automorphisms) projecting to left multiplication on the base,
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25

Suzuki, Kohei. "Convergence of stochastic processes on varying metric spaces." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215281.

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26

Rodado, A. Armando J. "Weierstrass points and canonical cell decompositions of the moduli and teichmüller spaces of riemann surfaces of genus two /." Connect to thesis, 2007. http://eprints.unimelb.edu.au/archive/00003539.

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27

Mantegazza, Carlo. "Smooth geometric evolutions of hypersurfaces and singular approximation of mean curvature flow." Doctoral thesis, Scuola Normale Superiore, 2014. http://hdl.handle.net/11384/85686.

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28

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.

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Nous nous intéressons à la comparaison de formes de courbes lisses prenant leurs valeurs dans une variété riemannienne M. Dans ce but, nous introduisons une métrique riemannienne invariante par reparamétrisations sur la variété de dimension infinie des immersions lisses dans M. L’équation géodésique est donnée et les géodésiques entre deux courbes sont construites par tir géodésique. La structure quotient induite par l’action du groupe des reparamétrisations sur l’espace des courbes est étudiée. À l’aide d’une décomposition canonique d’un chemin dans un fibré principal, nous proposons un algor
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29

Franceschi, Valentina. "Sharp and Quantitative Isoperimetric Inequalities in Carnot-Carathéodory spaces." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3424812.

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This thesis is dedicated to the study of isoperimetric inequalities in some Carnot-Carathéodory spaces, related to the Heisenberg geometry. The thesis is organized as follows. Chapter 1 is concerned with some preliminaries: we consider Carnot-Carathéodory spaces, and we define Grushin spaces and H-type groups. Then, we introduce the notion of X-perimeter, showing the validity of a non-sharp isoperimetric inequality. In Chapter 2, we study the sharp isoperimetric inequality in H-type groups and Grushin spaces. Several techniques are needed here, such as representation formulas for the X-perime
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30

O'Loan, Caleb J. "Topics in estimation of quantum channels." Thesis, University of St Andrews, 2010. http://hdl.handle.net/10023/869.

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A quantum channel is a mapping which sends density matrices to density matrices. The estimation of quantum channels is of great importance to the field of quantum information. In this thesis two topics related to estimation of quantum channels are investigated. The first of these is the upper bound of Sarovar and Milburn (2006) on the Fisher information obtainable by measuring the output of a channel. Two questions raised by Sarovar and Milburn about their bound are answered. A Riemannian metric on the space of quantum states is introduced, related to the construction of the Sarovar and Milbur
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31

Gräf, Manuel. "Efficient Algorithms for the Computation of Optimal Quadrature Points on Riemannian Manifolds." Doctoral thesis, Universitätsbibliothek Chemnitz, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-115287.

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We consider the problem of numerical integration, where one aims to approximate an integral of a given continuous function from the function values at given sampling points, also known as quadrature points. A useful framework for such an approximation process is provided by the theory of reproducing kernel Hilbert spaces and the concept of the worst case quadrature error. However, the computation of optimal quadrature points, which minimize the worst case quadrature error, is in general a challenging task and requires efficient algorithms, in particular for large numbers of points. The focus
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32

Roby, Simon. "Résonances du Laplacien sur les fibrés vectoriels homogènes sur des espaces symétriques de rang réel un." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0129.

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On étudie les résonances de l’opérateur de Laplace agissant sur les sections d’un fibré vectoriel homogène sur un espace symétrique Riemannien de type non-compact. On suppose que l’espace symétrique est de rang un, mais la représentation irréductible τ du compact maximal K, qui définit le fibré vectoriel, est quelconque. On détermine alors les résonances. Si on suppose de plus que τ apparaît dans les représentations de la série principale sphérique, on détermine les représentations issues des résonances. Elles sont toutes irréductibles. On trouve leurs paramètres de Langlands, leurs fronts d’o
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33

Childers, Kristen Snyder. "Generalizations of a Laplacian-Type Equation in the Heisenberg Group and a Class of Grushin-Type Spaces." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3042.

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In [2], Beals, Gaveau and Greiner find the fundamental solution to a 2-Laplace-type equation in a class of sub-Riemannian spaces. This fundamental solution is based on the well-known fundamental solution to the p-Laplace equation in Grushin-type spaces [4] and the Heisenberg group [6]. In this thesis, we look to generalize the work in [2] for a p-Laplace-type equation. After discovering that the "natural" generalization fails, we find two generalizations whose solutions are based on the fundamental solution to the p-Laplace equation.
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34

Bonnet, Benoît. "Optimal control in Wasserstein spaces." Electronic Thesis or Diss., Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0442.

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Une vaste quantité d'outils mathématiques permettant la modélisation et l'analyse des problèmes multi-agents ont récemment été développés dans le cadre de la théorie du transport optimal. Dans cette thèse, nous étendons pour la première fois plusieurs de ces concepts à des problématiques issues de la théorie du contrôle. Nous démontrons plusieurs résultats sur ce sujet, notamment des conditions nécessaires d'optimalité de type Pontryagin dans les espaces de Wasserstein, des conditions assurant la régularité intrinsèque de solutions optimales, des conditions suffisantes pour l'émergence de diff
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Vasconcelos, Rosa Tayane de. "O tensor de Ricci e campos de killing de espaços simétricos." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25968.

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VASCONCELOS, Rosa Tayane de. O tensor de Ricci e campos de killing de espaços simétricos. 2017. 81 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-09-18T13:45:50Z No. of bitstreams: 1 2017_dis_rtvasconcelos.pdf: 555452 bytes, checksum: 4ff6c8fb7950682913acabed03e9d3d7 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, A Dissertação de ROSA TAYANE DE VASCONCELOS apresenta a alguns erros que devem corrigidos, os mesmos seguem listados abaixo: 1- EPÍGRAF
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36

Silva, Júnior Rinaldo Vieira da 1981. "Calculo estocastico em variedades Finsler." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306287.

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Orientador: Paulo Regis Caron Ruffino<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T02:49:45Z (GMT). No. of bitstreams: 1 SilvaJunior_RinaldoVieirada_M.pdf: 1586291 bytes, checksum: 8d01bdf434ecba2fb62a57725c46dd4a (MD5) Previous issue date: 2005<br>Resumo: Nesta dissertação fizemos um estudo da teoria de difusão em variedades Finsler, onde abor-damos o transporte paralelo estocástico, desenvolvimento estocástico de Cartan e Movimento Browniano. O objetivo principal é obter
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37

Gorine, Mohammed. "Influence de la courbure sur la taille du barycentre convexe dans les variétés différentiables." Thesis, Strasbourg, 2015. http://www.theses.fr/2015STRAD001/document.

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Si µ est une mesure de probabilité à support compact dans uns espace vectoriel ou affine de dimension finie, le barycentre (ou centre de gravité) de µ est un point bien défini de l’espace. Mais des difficultés surgissent lorsque l’espace est remplacé par une variété riemannienne M ; dans ce cas, même en se restreignant aux variétés convexes (c’est-à-dire deux dont points quelconques sont toujours joints par une géodésique et une seule) et aux mesures à support fini, il est en général impossible d'assigner à chaque probabilité un barycentre de façon que, d'une part,pour tous λϵ [0; 1] et x et y
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38

Santiago, Landerson Bezerra. "O nÃcleo do calor em uma variedade riemanniana." Universidade Federal do CearÃ, 2011. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5674.

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Em uma variedade riemanniana conexa e compacta introduziremos o conceito de espectro do operador laplaciano. Utilizando a existÃncia e a unicidade do nÃcleo do calor em uma variedade riemanniana,provaremos o teorema de decomposiÃÃo de Hodge. Este teorema afirma que o espaÃo de Hilbert L2(M, g) se decompÃe em uma soma direta de subespaÃos de dimensÃo finita, onde cada subespaÃo à o auto-espaÃo associado a um autovalor do laplaciano. AlÃm disso, os autovalores formam uma sequÃncia nÃo-negativa que acumula somente no infinito. Em seguida iniciaremos a construÃÃo do nÃcleo do calor e, por fim, mos
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39

Roque, Alejandro Caicedo. "Uma Representação de Weierstrass para Superfícies Mínimas em H3 e H2 × R." Universidade Federal da Paraí­ba, 2008. http://tede.biblioteca.ufpb.br:8080/handle/tede/7353.

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Made available in DSpace on 2015-05-15T11:45:59Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 323962 bytes, checksum: b1f72af0670744659eabe72c7c444dc3 (MD5) Previous issue date: 2008-08-08<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The Weierstrass representation of minimal surfaces in R3 and its generalization to Rn shows is a very useful tool in the study of minimal surfaces in these spaces. In this work we want to describe a type Weierstrass representation for immersions simply connected in the group of Heisenberg H3. Using applications harmonics is possible obtain
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40

Hochard, Raphaël. "Théorèmes d’existence en temps court du flot de Ricci pour des variétés non-complètes, non-éffondrées, à courbure minorée." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0006/document.

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Le flot de Ricci est une équation aux dérivées partielles qui régit l’évolution d’une métrique riemannienne dépendant d’un paramètre de temps sur une variété différentielle. D’abord introduit et étudié par R. Hamilton, il est à l’origine de la solution de la conjecture de géométrisation des variétés compactes de dimension 3 par G. Perelman en 2001. La théorie classique concernant l’existence en temps court des solutions, due à Hamilton et à Shi, garantit (en dimension quelconque) l’existence d’un flot soit sur une variété compacte, soit lorsque la métrique initiale est complète avec une borne
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Ilea, Ioana. "Robust classifcation methods on the space of covariance matrices. : application to texture and polarimetric synthetic aperture radar image classification." Thesis, Bordeaux, 2017. http://www.theses.fr/2017BORD0006/document.

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Au cours de ces dernières années, les matrices de covariance ont montré leur intérêt dans de nombreuses applications en traitement du signal et de l'image.Les travaux présentés dans cette thèse se concentrent sur l'utilisation de ces matrices comme descripteurs pour la classification. Dans ce contexte, des algorithmes robustes de classification sont proposés en développant les aspects suivants.Tout d'abord, des estimateurs robustes de la matrice de covariance sont utilisés afin de réduire l'impact des observations aberrantes. Puis, les distributions Riemannienne Gaussienne et de Laplace, ainsi
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Parente, Ulisses Lima. "Alguns resultados tipo-Bernstein em variedades semi-riemannianas." reponame:Repositório Institucional da UFC, 2011. http://www.repositorio.ufc.br/handle/riufc/846.

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PARENTE, Ulisses Lima; MUNIZ NETO, Antonio Caminha. Alguns resultados tipo-Bernstein em variedades semi-riemannianas. 2011. 76 f. : Tese (doutorado) - Universidade Federal do Ceará, Programa de Pós-Graduação em Matemática, Fortaleza-CE, 2011.<br>Submitted by Rocilda Sales (rocilda@ufc.br) on 2011-10-06T11:17:12Z No. of bitstreams: 1 2011_tese_ulparente.pdf: 501643 bytes, checksum: 1fb4d3996c364ea2f5740f5f9e4eb31b (MD5)<br>Approved for entry into archive by Rocilda Sales(rocilda@ufc.br) on 2011-10-06T13:48:32Z (GMT) No. of bitstreams: 1 2011_tese_ulparente.pdf: 501643 bytes, checksum: 1fb4d3
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Richard, Thomas. "Flot de Ricci sans borne supérieure sur la courbure et géométrie de certains espaces métriques." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00768066.

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Le flot de Ricci, introduit par Hamilton au début des années 80, a montré sa valeur pour étudier la topologie et la géométrie des variétés riemanniennes lisses. Il a ainsi permis de démontrer la conjecture de Poincaré (Perelman, 2003) et le théorème de la sphère différentiable (Brendle et Schoen, 2008). Cette thèse s'intéresse aux applications du flot de Ricci à des espaces métriques à courbure minorée peu lisses. On définit en particulier ce que signifie pour un flot de Ricci d'avoir pour condition initiale un espace métrique. Dans le Chapitre 2, on présente certains travaux de Simon permetta
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44

Dahmani, Kamilia. "Weighted LP estimates on Riemannian manifolds." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30188/document.

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Cette thèse s'inscrit dans le domaine de l'analyse harmonique et plus exactement, des estimations à poids. Un intérêt particulier est porté aux estimations Lp à poids des transformées de Riesz sur des variétés Riemanniennes complètes ainsi qu'à l'optimalité des résultats en terme de la puissance de la caractéristique des poids. On obtient un premier résultat (en terme de la linéarité et de la non dépendance de la dimension) sur des espaces pas nécessairement de type homogène, lorsque p = 2 et la courbure de Bakry-Emery est positive. On utilise pour cela une approche analytique en exhibant une
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Thanwerdas, Yann. "Géométries riemanniennes et stratifiées des matrices de covariance et de corrélation." Thesis, Université Côte d'Azur, 2022. http://www.theses.fr/2022COAZ4024.

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Dans de nombreuses applications, les données sont des matrices de covariance ou de corrélation entre plusieurs signaux (EEG, MEG, fMRI), grandeurs physiques (cellules, gènes) ou instants (autocorrélation). L'ensemble des matrices de covariance est un cône convexe qui est un espace stratifié non euclidien : il a un bord qui est lui-même un espace stratifié de dimension inférieure. Ses strates sont les variétés de matrices de covariance de rang fixé et la strate principale des matrices Symétriques Définies Positives (SPD) est dense dans l'espace total. L'ensemble des matrices de corrélations adm
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46

Xie, Shuisheng. "A Riemannian Framework for Shape Analysis of Subcortical Brain Structures." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1375286022.

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Park, Joon. "Music, Motion, and Space: A Genealogy." Thesis, University of Oregon, 2015. http://hdl.handle.net/1794/19354.

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How have we come to hear melody as going “up” or “down”? Why does the Western world predominantly adopt spatial terms such as “high” and “low” to distinguish musical notes while other non-Western cultures use non-spatial terms such as “large” and “small” (Bali), or “clear” and “dull” (South Korea)? Have the changing concepts of motion and space in people’s everyday lives over history also changed our understanding of musical space? My dissertation investigates the Western concept of music space as it has been shaped by social change into the way we think about music today. In our understanding
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Santos, Fábio Reis dos Santos. "Sobre a Geometria de Imersões Riemannianas." Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/8031.

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Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-23T11:16:42Z No. of bitstreams: 1 arquivototal.pdf: 1343904 bytes, checksum: dfca90c2164204a1513fc4a55eca4527 (MD5)<br>Made available in DSpace on 2016-03-23T11:16:43Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1343904 bytes, checksum: dfca90c2164204a1513fc4a55eca4527 (MD5) Previous issue date: 2015-05-26<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Our purpose is to study the geometry of Riemannian immersions in certain semi- Riemannian manifolds. Initially, considering linearWeingarten hypersurfa
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Cruz, FlÃvio FranÃa. "Sobre hipersuperfÃcies com curvatura e bordo prescritos em variedades riemannianas." Universidade Federal do CearÃ, 2011. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8687.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>We investigate the existence of hypersurfaces with prescribed curvature in a wide context. First we study the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on a Riemannian manifold, which are closely related with the existence of hypersurfaces with prescribed curvature and boundary. In this setting we prove some existence results which extend to a Riemannian manifold previous results by Caffarelli, Nirenberg,Spruck and Bo Guan f
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García-Zelada, David. "Aspects géométriques et probabilistes des gaz de coulomb Concentration for Coulomb gases on compact manifolds A large deviation principle for empirical measures on Polish spaces: Application to singular Gibbs measures on manifolds Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background Edge fluctuations for a class of two-dimensional determinantal Coulomb gases." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLED046.

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Nous explorons des modèles probabilistes appelés gaz de Coulomb. Ils apparaissent dans différents contextes comme par exemple dans la théorie des matrices aléatoires, l'effet Hall quantique fractionnaire de Laughlin et les modèles de supraconductivité de Ginzburg-Landau. Dans le but de mieux comprendre le rôle de l'espace ambiant, nous étudions des versions géométriques de ce système. Nous exploitons trois structures sur ce modèle. La première est définie par la interaction électrostatique provenant de la loi de Gauss. La deuxième est la structure déterminantale disponible que pour des valeurs
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