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

页码：140 / 154

页数：15

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