Manifolds of nonpositive curvature
Author(s)
Bibliographic Information
Manifolds of nonpositive curvature
(Progress in mathematics, v. 61)
Birkhäuser, 1985
- : us
- : gw
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Note
Based on four lectures delivered by M. Gromov in Feb. 1981 at Collège de France, Paris, with appendices by W. Ballmann and V. Schroeder
Bibliography: p. 256-259
Includes index
Description and Table of Contents
Description
This volume presents a complete and self-contained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures delivered by M. Gromov at the College de France in Paris. Therefore this book may also serve as an introduction to the subject of nonpositively curved manifolds. The latest progress in this area is reflected in the article of W. Ballmann describing the structure of manifolds of higher rank.
Table of Contents
Preface.-Introduction.-Lectures on Manifolds of Nonpositive Curvature.-Simply Connected Manifolds of Nonpositive Curvature.-Groups of Isometries.-Finiteness theorems.-Strong Rigidity of Locally Symmetric Spaces.-Appendix 1. Manifolds of Higher Rank.-Appendix 2: Finiteness Results for Nonanalytic Manifolds.-Appendix 3: Tits Metric and the Action of Isometries at Infinity.-Appendix 4: Tits Metric and Asymptotic Rigidity.-Appendix 5: Symmetric Spaces of Noncompact types.-References.-Subject Index.
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