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Metric structures for Riemannian and non-Riemannian spaces

Author: Mikhael Gromov
Publisher: Boston : Birkhäuser, ©2007.
Series: Modern Birkhäuser classics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

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.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gromov, Mikhael, 1943-
Metric structures for Riemannian and non-Riemannian spaces.
Boston : Birkhäuser, ©2007
(DLC) 2006937425
(OCoLC)86109653
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mikhael Gromov
ISBN: 9780817645830 0817645837 9780817645823 0817645829
OCLC Number: 184984815
Notes: "Reprint of the 2001 edition."
Description: 1 online resource (xix, 585 pages) : illustrations.
Contents: 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 / Misha Gromov.
Series Title: Modern Birkhäuser classics.
Other Titles: Structures métriques pour les variétés Riemanniennes.
Responsibility: Misha Gromov ; with appendices by M. Katz, P. Pansu, and S. Semmes ; English translation by Sean Michael Bates.
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From the reviews: "The book gives genius insight into the connections between topology and Riemannian geometry, geometry and probability, geometry and analysis, respectively. The huge variety of Read more...

 
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