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

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

2008-01-05

arxiv.org/abs/0801.0829v1

Mathematics

Differential Geometry

23 pages

Scientific paper

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.

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