AuthorBallmann, Werner. author
TitleManifolds of Nonpositive Curvature [electronic resource] / by Werner Ballmann, Mikhael Gromov, Viktor Schroeder
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1985
Connect tohttp://dx.doi.org/10.1007/978-1-4684-9159-3
Descript V, 266 p. online resource

SUMMARY

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 Collรจge 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


SUBJECT

  1. Mathematics
  2. Group theory
  3. Topological groups
  4. Lie groups
  5. Global analysis (Mathematics)
  6. Manifolds (Mathematics)
  7. Differential geometry
  8. Topology
  9. Mathematics
  10. Global Analysis and Analysis on Manifolds
  11. Group Theory and Generalizations
  12. Differential Geometry
  13. Topology
  14. Topological Groups
  15. Lie Groups