Hyperbolic Rank of Products

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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.
11 pages

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Differential Geometry, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/64777

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208197
 http://arxiv.org/abs/math/0208197

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arXiv