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Metric Structures for Riemannian and Non-Riemannian Spaces
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Catalogue Information
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
Links to Related Works
Subject References:
Algebraic Topology
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Cell aggregation
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Differential Geometry
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Distribution (Probability theory)
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Measure and Integration
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Authors:
Gromov, Mikhael 1943-
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Lafontaine, Jacques
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Pansu, Pierre
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Corporate Authors:
SpringerLink (Online service)
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Series:
Modern Birkhäuser classics
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Classification:
516.362 (DDC 22)
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