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Manifolds of Nonpositive Curvature
Abstract
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 (eg, 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
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Citations
Cited by
Burago, D., Burago, Y., & Ivanov, S. (2001) · Graduate Studies in Mathematics · doi:10.1090/gsm/033 · Cited by 2,598
Gromov, M. (1987) · Mathematical Sciences Research Institute Publications · doi:10.1007/978-1-4613-9586-7_3 · Cited by 1,817
Self-citationGauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space
Choi, H. I., & Treibergs, A. (1990) · Journal of Differential Geometry · doi:10.4310/jdg/1214445535 · Cited by 88
All flat three-manifolds appear as cusps of hyperbolic four-manifolds
Nimershiem, B. E. (1998) · Topology and its Applications · doi:10.1016/s0166-8641(98)00183-7 · Cited by 18
Metadata
- Authors
- Ballmann, W., Gromov, M., & Schroeder, V.
- Venue
- Progress in Mathematics
- Publisher
- Birkhäuser Boston
- Published
- 1985
- Pages
- 261-268
- ISSN
- 0743-1643 (ISSN-L)
- 2296-505X
- OpenAlex
- W2112861192
- Cited by
- 788
- References
- 0
- FWCI
- 6.07
- Type
- book
- Language
- en
- Open access
- closed
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- Ballmann, W., Gromov, M., & Schroeder, V. (1985). Manifolds of Nonpositive Curvature. Progress in Mathematics. https://doi.org/10.1007/978-1-4684-9159-3
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