Progress in Mathematics

Manifolds of Nonpositive Curvature

Authors: Ballmann, Werner, Gromov, Misha, Schroeder, Viktor

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About this book

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 Collège de France in Paris. Among others these lectures threat local and global rigidity problems (e.g., a generalization of the famous Mostow rigidity theorem) and finiteness results for manifolds of finite volume. V. Schroeder wrote up these lectures, including complete and detailed proofs. A lot of background material is added to the first lectures. 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 (15 chapters)

  • Local geometry and convexity

    Ballmann, Werner (et al.)

    Pages 1-14

  • The theorem of Hadamard-Cartan and complete simply connected manifolds of nonpositive curvature

    Ballmann, Werner (et al.)

    Pages 15-20

  • Ideal boundary

    Ballmann, Werner (et al.)

    Pages 21-32

  • The Tits metric on X(∞)

    Ballmann, Werner (et al.)

    Pages 33-59

  • Rigidity and extensions of isometric maps

    Ballmann, Werner (et al.)

    Pages 60-76

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-9159-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4684-9161-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Manifolds of Nonpositive Curvature
Authors
Series Title
Progress in Mathematics
Series Volume
61
Copyright
1985
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4684-9159-3
DOI
10.1007/978-1-4684-9159-3
Softcover ISBN
978-1-4684-9161-6
Series ISSN
0743-1643
Edition Number
1
Number of Pages
V, 266
Topics