Quasiisometries between negatively curved Hadamard manifolds
نویسنده
چکیده
Let H1, H2 be the universal covers of two compact Riemannian manifolds (of dimension 6= 4) with negative sectional curvature. Then every quasiisometry between them lies at a finite distance from a bilipschitz homeomorphism. As a consequence, every self quasiconformal map of a Heisenberg group (equipped with the Carnot metric and viewed as the ideal boundary of complex hyperbolic space) of dimension ≥ 5 extends to a self quasiconformal map of the complex hyperbolic space. Mathematics Subject Classification (2000). 53C20, 20F65, 30C65.
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تاریخ انتشار 2008