Foliations of globally hyperbolic spacetimes by CMC hypersurfaces

被引：13
|
作者：
Thierry, BA
Béguin, F
Zeghib, A
机构：
[1] Ecole Normale Super Lyon, UMPA, CNRS, UMR 5669, F-69364 Lyon, France
[2] Univ Paris 11, Math Lab, UMR 8628, F-91405 Orsay, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2003年 / 336卷 / 03期
关键词：
D O I：
10.1016/S1631-073X(03)00019-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We announce the following result: every maximal globally hyperbolic 3-dimensional spacetime with compact Cauchy surface, and with nonpositive constant curvature admits a unique time function whose fibers are constant mean curvature surfaces. We discuss the extension of this result in higher dimensions.
引用
收藏
页码：245 / 250
页数：6
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