Existence and Uniqueness of Constant Mean Curvature Foliation of Asymptotically Hyperbolic 3-Manifolds

被引：0
|
作者：
André Neves
Gang Tian
机构：
[1] Princeton University,Fine Hall
来源：
Geometric and Functional Analysis | 2009年 / 19卷
关键词：
Foliations; constant mean curvature; primary – 53C12; secondary – 53C80;
D O I：
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学科分类号：
摘要：
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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页码：910 / 942
页数：32
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