SOLUTIONS TO THE MAXIMAL SPACELIKE HYPERSURFACE EQUATION IN GENERALIZED ROBERTSON-WALKER SPACETIMES

被引：0
|
作者：
De Lima, Henrique F. [1 ]
Dos Santos, Fabio R. [1 ]
Araujo, Jogli G. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年
关键词：
Generalized Robertson-Walker spacetimes; timelike convergence; maximal spacelike hypersurfaces; entire graphs; maximal spacelike hypersurface equation; CONSTANT MEAN-CURVATURE; RIEMANNIAN-MANIFOLDS; SITTER SPACE; UNIQUENESS; GEOMETRY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We apply some generalized maximum principles for establishing uniqueness and nonexistence results concerning maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker (GRW) spacetime, which is supposed to obey the so-called timelike convergence condition (TCC). As application, we study the uniqueness and nonexistence of entire solutions of a suitable maximal spacelike hypersurface equation in GRW spacetimes obeying the TCC.
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页数：14
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