Existence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
classification
🧮 math.DG
math-phmath.MP
keywords
constantcurvatureexistencemanifoldsmeanmetricsuniquenessanti-de
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We 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.
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