ar X iv : m at h / 02 08 19 7 v 1 [ m at h . D G ] 2 6 A ug 2 00 2 Hyperbolic Rank of Products
نویسنده
چکیده
Generalizing [BrFa] we prove the existence of a bilipschitz embedded manifold of pinched negative curvature and dimension m1 +m2 −1 in the product X := Xm1 1 ×X m2 2 of two Hadamard manifolds Xmi i of dimension mi with pinched negative curvature. Combining this result with [BuySch] we prove the additivity of the hyperbolic rank for products of manifolds with pinched negative curvature.
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