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

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dc.creatorNeves, André
dc.creatorTian, Gang
dc.date2006-10-25
dc.date2006-10-28
dc.date.accessioned2026-07-07T07:29:26Z
dc.date.available2026-07-07T07:29:26Z
dc.descriptionWe prove existence and uniqueness of foliations by stable spheres with constant mean curvature for 3-manifolds which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass. These metrics arise naturally as spacelike timeslices for solutions of the Einstein equation with a negative cosmological constant.
dc.description39 pages, submitted. Decay conditions on Lemma 6.3 and Theorem 1.3 corrected
dc.identifierhttps://arxiv.org/abs/math/0610767
dc.identifierhttp://arxiv.org/abs/math/0610767
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118106
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53A10
dc.titleExistence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
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