Some estimates for the curvatures of complete spacelike hypersurfaces in generalized Robertson-Walker spacetimes

被引：3
|
作者：
Aledo, JA [1 ]
Gálvez, JA
Romero, A
机构：
[1] Univ Castilla La Mancha, Escuela Politecn Super Albacete, Albacete 02071, Spain
[2] Univ Granada, Granada 18071, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2004年 / 52卷 / 04期
关键词：
generalized Robertson-Walker spacetimes; spacelike hypersurface; jth mean curvatures; scalar curvature; Ricci curvature; generalized maximum principle;
D O I：
10.1016/j.geomphys.2004.04.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain some estimates for the higher order mean curvatures, the scalar curvature and the Ricci curvature of a complete spacelike hypersurface in a generalized Robertson-Walker spacetime, under certain assumptions on the warped function of the ambient space. Our results will be an application of a generalized maximum principle due to Omori. (C) 2004 Elsevier B.V. All rights reserved.
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页码：469 / 479
页数：11
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