Rigidity of Conformally Compact Manifolds with the Round Sphere as the Conformal Infinity

نویسنده

  • Satyaki Dutta
چکیده

In this paper we prove that under a lower bound on the Ricci curvature and an asymptotic assumption on the scalar curvature, a complete conformally compact manifold (M, g), with a pole p and with the conformal infinity in the conformal class of the round sphere, has to be the hyperbolic space.

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تاریخ انتشار 2008