Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhauser Classics 1st ed. 1999. Corr. 2nd printing 2001. 3rd printing 2006)

Metric Structures for Riemannian and Non-Riemannian Spaces (Modern Birkhauser Classics 1st ed. 1999. Corr. 2nd printing 2001. 3rd printing 2006)

By: Mikhail Gromov (author), S.M. Bates (translator), Jacques Lafontaine (editor), Pierre Pansu (editor), Pierre Pansu (contributor), M. Katz (contributor), S. Semmes (contributor)Paperback

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Description

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.

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.

Product Details

  • ISBN13: 9780817645823
  • Format: Paperback
  • Number Of Pages: 586
  • ID: 9780817645823
  • weight: 1870
  • ISBN10: 0817645829
  • edition: 1st ed. 1999. Corr. 2nd printing 2001. 3rd printing 2006

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