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

被引：16

作者：

Neves, Andre ^{[1
]}

Tian, Gang ^{[1
]}

机构：

[1] Princeton Univ, Princeton, NJ 08544 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2010年 / 641卷

基金：

美国国家科学基金会;

关键词：

MASS; MANIFOLDS;

D O I：

10.1515/CRELLE.2010.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 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 Muller.

引用

页码：69 / 93

页数：25

共 11 条

[1] The mass of asymptotically hyperbolic Riemannian manifolds [J].