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

被引：16
|
作者：
Neves, Andre [1 ]
Tian, Gang [1 ]
机构：
[1] Princeton Univ, Princeton, NJ 08544 USA
来源：
GEOMETRIC AND FUNCTIONAL ANALYSIS | 2009年 / 19卷 / 03期
基金：
美国国家科学基金会;
关键词：
Foliations; constant mean curvature; SCALAR CURVATURE; MANIFOLDS; MASS; SOBOLEV;
D O I：
10.1007/s00039-009-0019-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：33
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