Metric Structures for Riemannian and Non-Riemannian Spaces

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new wave began with seminal papers by Svarc and Milnor on...

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Dades bibliogràfiques
Autor principal: Gromov, Mikhail, 1943-..., mathématicien
Altres autors: Bates, Sean Michael, 19..- (Traductor), Katz, Mikhail Gersh, 1958-...., mathématicien (Col·laborador), Pansu, Pierre, 1959-...., mathématicien (Col·laborador), Semmes, Stephen, 1962- (Col·laborador)
Format: Livre numérique
Idioma:Anglais
Publicat: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Col·lecció:Modern Birkhäuser Classics
Matèries:
Accés en línia:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: L'impression du document génère 593 p.
Trad. de : "Structures métriques des variétés riemanniennes"
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Numérisation de la réimpression de l'édition corrigée datant de 2001
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Metric structures for Riemannian and non-Riemannian spaces, Misha Gromov, 2007, Boston, Birkhäuser, 1 vol. (XIX-585 p.), Modern Birkhäuser classics, 978-0-8176-4582-3
Taula de continguts:
  • Preface to the French Edition Preface to the English Edition Introduction: Metrics Everywhere Length Structures: Path Metric Spaces Degree and Dilatation Metric Structures on Families of Metric Spaces Convergence and Concentration of Metrics and Measures Loewner Rediscovered Manifolds with Bounded Ricci Curvature Isoperimetric Inequalities and Amenability Morse Theory and Minimal Models Pinching and Collapse Appendix A: 'Quasiconvex' Domains in Rn Appendix B: Metric Spaces and Mappings Seen at Many Scales Appendix C: Paul Levy's Isoperimetric Inequality Appendix D: Systolically Free Manifolds Bibliography Glossary of Notation Index.