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Table of contents (15 chapters)
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Front Matter
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Lectures on Manifolds of Nonpositive Curvature
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Front Matter
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Simply Connected Manifolds of Nonpositive Curvature
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Strong Rigidity of Locally Symmetric Spaces
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Back Matter
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.
Authors and Affiliations
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Dept. of Mathematics, University of Maryland, College Park, USA
Werner Ballmann
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Math. Institut der Universität, Bonn, West Germany
Werner Ballmann
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Inst. des Hautes Etudes Scientifiques, Bures-sur-Yvette, France
Mikhael Gromov
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Math. Institut der Universität, Münster, Germany
Viktor Schroeder
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Math. Institut der Universität, Basel, Switzerland
Viktor Schroeder
Bibliographic Information
Book Title: Manifolds of Nonpositive Curvature
Authors: Werner Ballmann, Mikhael Gromov, Viktor Schroeder
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-1-4684-9159-3
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1985
Softcover ISBN: 978-1-4684-9161-6Published: 14 April 2013
eBook ISBN: 978-1-4684-9159-3Published: 11 December 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: V, 266
Topics: Global Analysis and Analysis on Manifolds, Group Theory and Generalizations, Differential Geometry, Topology, Topological Groups, Lie Groups