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

页码：245 / 250

页数：6

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