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Metric structures for Riemannian and non-Riemannian spaces

Author: Mikhael Gromov
Publisher: Boston : Birkhäuser, ©1999.
Series: Progress in mathematics (Boston, Mass.), v. 152.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Metric theory covers a domain between topology and global Riemannian geometry, an area which has exploded in the last 20 years of the 20th century. In this work, the author makes connections between  Read more...

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Additional Physical Format: Online version:
Gromov, Mikhael, 1943-
Metric structures for Riemannian and non-Riemannian spaces.
Boston : Birkhäuser, ©1999
(OCoLC)812156384
Document Type: Book
All Authors / Contributors: Mikhael Gromov
ISBN: 0817638989 9780817638986 3764338989 9783764338985
OCLC Number: 37201427
Description: xix, 585 pages : illustrations ; 25 cm.
Contents: Introduction: Metrics Everywhere --
1. Length Structures: Path Metric Spaces --
2. Degree and Dilatation --
3. Metric Structures on Families of Metric Spaces --
3 1/2. Convergence and Concentration of Metrics and Measures --
4. Loewner Rediscovered --
5. Manifolds with Bounded Ricci Curvature --
6. Isoperimetric Inequalities and Amenability --
7. Morse Theory and Minimal Models --
8. Pinching and Collapse --
A. "Quasiconvex" Domains in R[superscript n] --
B. Metric Spaces and Mappings Seen at Many Scales --
C. Paul Levy's Isoperimetric Inequality --
D. Systolically Free Manifolds.
Series Title: Progress in mathematics (Boston, Mass.), v. 152.
Other Titles: Structures métriques pour les variétés Riemanniennes.
Responsibility: Mikhail Gromov ; English translation by Sean Michael Bates ; with appendices by M. Katz, P. Pansu, and S. Semmes.

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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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