Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes

被引：8
|
作者：
Albujer, Alma L. [1 ]
de Lima, Henrique F. [2 ]
Oliveira, Arlandson M. [2 ]
Velasquez, Marco Antonio L. [2 ]
机构：
[1] Univ Cordoba, Dept Matemat, Campus Univ Rabanales, E-14071 Cordoba, Spain
[2] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2017年 / 50卷
关键词：
Spatially weighted generalized; Robertson-Walker spacetimes; Bakry-Emery Ricci curvature; Drifted Laplacian; f-mean curvature; Complete spacelike hypersurfaces; Entire graphs; CONSTANT MEAN-CURVATURE; MINKOWSKI SPACE; UNIQUENESS;
D O I：
10.1016/j.difgeo.2016.11.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our purpose in this paper is to apply some maximum principles in order to study the rigidity of complete spacelike hypersurfaces immersed in a spatially weighted generalized Robertson Walker (GRW) spacetime, which is supposed to obey the so called strong null convergence condition. Under natural constraints on the weight function and on the f-mean curvature, we establish sufficient conditions to guarantee that such a hypersurface must be a slice of the ambient spacetime. In this setting, we also obtain new Calabi Bernstein type results concerning entire graphs in a spatially weighted GRW spacetime. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：140 / 154
页数：15
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