LaFontaine / Gromov / Pansu Metric Structures for Riemannian and Non-Riemannian Spaces

1. Auflage 1999. Corr. 2. printing 2001. 4th printing 2007
ISBN: 978-0-8176-4583-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 586 Seiten, eBook

Reihe: Modern Birkhäuser Classics

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.

Zielgruppe

Research

Autoren/Hrsg.

Gromov, Mikhail

LaFontaine, Jacques

Pansu, Pierre

Weitere Mitwirkende

Katz, M.

Bates, S. M.

Pansu, P.

Semmes, S.

Inhaltsverzeichnis

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.