Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on AdS3

被引：39

作者：

Barbot, Thierry ^{[1
]}

Beguin, Francois ^{[1
]}

Zeghib, Abdelghani ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, CNRS, UMR 5669, Dept Mat, F-69364 Lyon, France

来源：

GEOMETRIAE DEDICATA | 2007年 / 126卷 / 01期

关键词：

globally hyperbolic spacetime; anti-de Sitter space; time function; constant mean curvature;

D O I：

10.1007/s10711-005-6560-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every three-dimensional maximal globally hyperbolic spacetime, locally modelled on the anti-de Sitter space AdS(3), with closed orientable Cauchy surfaces, admits a unique CMC time function.

引用

页码：71 / 129

页数：59

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