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

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dc.creatorDutta, Satyaki
dc.date2008-01-05
dc.date.accessioned2026-07-07T08:52:51Z
dc.date.available2026-07-07T08:52:51Z
dc.descriptionIn 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0801.0829
dc.identifierhttp://arxiv.org/abs/0801.0829
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145419
dc.subjectDifferential Geometry
dc.titleRigidity of Conformally Compact Manifolds with the Round Sphere as the Conformal Infinity
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