Complete spacelike hypersurfaces in a Robertson-Walker spacetime

被引：25
|
作者：
Albujer, Alma L. [1 ]
Camargo, Fernanda E. C. [2 ]
de Lima, Henrique F. [3 ]
机构：
[1] Univ Cordoba, E-14071 Cordoba, Spain
[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[3] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58109970 Campina Grande, Paraiba, Brazil
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2011年 / 151卷
关键词：
CONSTANT MEAN-CURVATURE; RIEMANNIAN MANIFOLDS; UNIQUENESS; SURFACES;
D O I：
10.1017/S0305004111000351
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, as a suitable application of the well-known generalized maximum principle of Omori-Yau, we obtain uniqueness results concerning to complete spacelike hypersurfaces with constant mean curvature immersed in a Robertson-Walker (RW) spacetime. As an application of such uniqueness results for the case of vertical graphs in a RW spacetime, we also get non-parametric rigidity results.
引用
收藏
页码：271 / 282
页数：12
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