Existence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II

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dc.creatorNeves, Andre
dc.creatorTian, Gang
dc.date2007-11-27
dc.date.accessioned2026-07-07T08:45:26Z
dc.date.available2026-07-07T08:45:26Z
dc.descriptionIn a previous paper, the authors showed that metrics which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique foliation by stable spheres with constant mean curvature. In this paper we extend that result to all asymptotically hyperbolic metrics for which the trace of the mass term is positive. We do this by combining the Kazdan-Warner obstructions with a theorem due to De Lellis and Müller.
dc.description24 pages, submitted
dc.identifierhttps://arxiv.org/abs/0711.4331
dc.identifierhttp://arxiv.org/abs/0711.4331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142964
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10
dc.titleExistence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II
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