On the rigidity for conformally compact Einstein manifolds

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dc.creatorQing, Jie
dc.date2003-05-06
dc.date.accessioned2026-07-07T04:57:47Z
dc.date.available2026-07-07T04:57:47Z
dc.descriptionIn this paper we prove that a conformally compact Einstein manifold with the round sphere as its conformal infinity has to be the hyperbolic space. We do not assume the manifolds to be spin, but our approach relies on the positive mass theorem for asymptotic flat manifolds. The proof is based on understanding of positive eigenfunctions and compactifications obtained by positive eigenfunctions.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0305084
dc.identifierhttp://arxiv.org/abs/math/0305084
dc.identifierIMRN 2003, no. 21, 1141-1153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67381
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C25, 53C80, 58J60
dc.titleOn the rigidity for conformally compact Einstein manifolds
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