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Foertsch, T; Schroeder, Viktor (2005). Hyperbolic rank of products. Proceedings of the American Mathematical Society, 133(2):557-563.
Generalizing results due to Brady and Farb we prove the existence of a bilipschitz embedded manifold of pinched negative curvature and dimension m_1+m_2-1 in the product X:=X_1^{m_1} times X_2^{m_2} of two Hadamard manifolds X_i^{m_i} of dimension m_i with pinched negative curvature. Combining this result with a Theorem by Buyalo and Schroeder we prove the additivity of the hyperbolic rank for products of manifolds with pinched negative curvature.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Hadamard manifolds, hyperbolic rank |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 27 Feb 2010 01:55 |
| Last Modified: | 07 Jan 2025 04:39 |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| Additional Information: | First published in [Proceedings of the American Mathematical Society] in [vol. 133, no. 2, 2005], published by the American Mathematical Society |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1090/S0002-9939-04-07598-7 |
Foertsch, T