COMPLETE CONSTANT MEAN CURVATURE SPACELIKE HYPERSURFACES IN THE EINSTEIN-DE SITTER SPACETIME

被引：5

作者：

Rubio, Rafael M. ^{[1
]}

机构：

[1] Univ Cordoba, Dept Matemat, E-14071 Cordoba, Spain

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 74卷 / 01期

关键词：

spacelike hypersurface; constant mean curvature; Einstein-de Sitter spacetime; RIEMANNIAN-MANIFOLDS; LORENTZIAN MANIFOLD; MAXIMAL SURFACES;

D O I：

10.1016/S0034-4877(14)60062-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The uniqueness and nonexistence results on complete constant mean curvature spacelike hypersurfaces lying between two spacelike slices in the Einstein de Sitter spacetime are given. They are obtained from a Liouville-type theorem applied to a distinguished smooth function on a complete constant mean curvature hypersurface.

引用

页码：127 / 133

页数：7

共 18 条

[1]

Alias L. J., 2002, DIFFERENTIAL GEOMETR

[2]

Alias L. J., 1995, GEN RELAT GRAVIT, V27, P75

[3] EXISTENCE OF MAXIMAL SURFACES IN ASYMPTOTICALLY FLAT SPACETIMES [J].