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arXiv:0801.0829 [math.DG]AbstractReferencesReviewsResources

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

Satyaki Dutta

Published 2008-01-05Version 1

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 $(M^{n+1},g)$, with a pole $p$ and with the conformal infinity in the conformal class of the round sphere, has to be the hyperbolic space.

Comments: 23 pages
Categories: math.DG
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