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Metric Structures for Riemannian and Non-Riemannian Spaces

Metric Structures for Riemannian and Non-Riemannian Spaces
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Field name Details
Dewey Class 516.362 (DDC 22)
Title Metric Structures for Riemannian and Non-Riemannian Spaces ([Ebook]) / Misha Gromov ; with appendices by M. Katz, P. Pansu, and S. Semmes ; English translation by Sean Michael Bates.
Author Gromov, Mikhael , 1943-
Added Personal Name Lafontaine, Jacques
Pansu, Pierre
Other name(s) SpringerLink (Online service)
Publication Boston : Birkhäuser , 2007
Physical Details : 1 online resource
Series Modern Birkhäuser classics
ISBN 9780817645830
Note This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.
Summary Note 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.:
System details note Online access to this digital book is restricted to subscribing institutions through IP address (only for internal SISSA users)
Internet Site http://dx.doi.org/10.1007/978-0-8176-4583-0
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