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2001-06-15
A Course in Metric Geometry - de Dmitri Burago, Yuri Burago, Sergei Ivanov, Iu. D. Burago (Author)
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Le Titre Du Fichier | A Course in Metric Geometry |
Date de publication | 2001-06-15 |
Traducteur | Nazam Farzana |
Numéro de Pages | 637 Pages |
La taille du fichier | 21.14 MB |
Langue du Livre | Français et Anglais |
Éditeur | Lion Publishing |
ISBN-10 | 2742254786-HJW |
Type de Données | EPub PDF AMZ DOC XHTML |
Créateur | Dmitri Burago, Yuri Burago, Sergei Ivanov, Iu. D. Burago |
Digital ISBN | 482-6499371585-LDX |
Nom de Fichier | A-Course-in-Metric-Geometry.pdf |
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I define the metric axiom as well as the triangle inequality I then define the discrete metric and prove that the triangle inequality holds in this
A course in metric geometry 2001 Autour de Dmitri Burago 2 Auteurs liés en tant que auteur du texte 2
Existence of Riemannian metrics isometric immersions parallel transport and the LeviCivita connection the fundamental theorem of Riemannian geometry Riemannian curvature Geodesics normal coordinates geodesic completeness and the HopfRinow Theorem
invariant Riemannian metric We demonstrate that it leads to strong theoretical properties the cone of positive definite symmetric matrices is replaced by a regular manifold of constant curvature without boundaries null eigenvalues are at the infinity the geodesic between two tensors and the mean of a set of tensors are uniquely defined etc
Metric geometry algorithms and groups 5 Janvier 2011 8 Avril 2011 Comité d’organisation scientifique Daniele A DI PIETRO Daniele A DI PIETRO Luca FORMAGGIA
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid which he described in his textbook on geometry the Elements Euclids method consists in assuming a small set of intuitively appealing axioms and deducing many other propositions theorems from these
2 Notion of Geometry synthetic vs analytic approach Geometric structures Another general problem Examples Beyond Klein localization modeling spaces on a given geometry 3 The Lorentz Problem The reminder of the list of 3Lorentz geometries 4 Lorentz Caprices Noncompleteness Completeness of GXstructures 5 On the proof Dimension of G Dynamics of the isotropy group and algebraic