Metric structures for Riemannian and non-Riemannian spaces
著者
書誌事項
Metric structures for Riemannian and non-Riemannian spaces
（Modern Birkhäuser classics）
Birkhäuser, c2007
Reprint of the 2001 ed
- タイトル別名
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Structures métriques des variétés Riemanniennes / edited by J. LaFontaine and P. Pansu
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注記
"Originally published as volume 152 in the series Progress in Mathematics"--T.p. verso
Includes bibliographical references (p. [545]-574) and index
内容説明・目次
内容説明
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.
目次
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.
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