Hyperbolic Rank of Products

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dc.creatorFoertsch, Thomas
dc.creatorSchroeder, Viktor
dc.date2002-08-26
dc.date.accessioned2026-07-07T04:50:24Z
dc.date.available2026-07-07T04:50:24Z
dc.descriptionGeneralizing 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0208197
dc.identifierhttp://arxiv.org/abs/math/0208197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64777
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleHyperbolic Rank of Products
dc.typetext

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