Metric structures for Riemannian and non-Riemannian spaces

Author(s)

• Gromov, Mikhael

Bibliographic Information

Metric structures for Riemannian and non-Riemannian spaces

Misha Gromov ; with appendices by M. Katz, P. Pansu, and S. Semmes ; English translation by Sean Michael Bates

（Modern Birkhäuser classics）

Birkhäuser, c2007

Reprint of the 2001 ed

Other Title

Structures métriques des variétés Riemanniennes / edited by J. LaFontaine and P. Pansu

Note

"Originally published as volume 152 in the series Progress in Mathematics"--T.p. verso

Includes bibliographical references (p. [545]-574) and index

Description and Table of Contents

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.

Table of 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.

by "Nielsen BookData"

Details

• NCID: BA80857144
• ISBN:
  • 9780817645823
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: fre
• Place of Publication: Boston ; Basel ; Berlin
• Pages/Volumes: xix, 585 p
• Size: 24 cm
• Classification:
  • SG : 516.373
  • SG : 510
  • DC21 : 516.3/73
• Subject Headings:
  • LCSH : Riemannian manifolds
• Parent Bibliography ID:
  • BA80210813