A New Calabi-Bernstein Type Result in Spatially Closed Generalized Robertson-Walker Spacetimes

被引：3
|
作者：
Aquino, C. [1 ]
Baltazar, H. [1 ]
de Lima, H. F. [2 ]
机构：
[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, Piaui, Brazil
[2] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
来源：
MILAN JOURNAL OF MATHEMATICS | 2017年 / 85卷 / 02期
关键词：
Spatially closed generalized Robertson-Walker spacetimes; complete spacelike hypersurfaces; constant mean curvature; entire graphs; CONSTANT MEAN-CURVATURE; COMPLETE SPACELIKE HYPERSURFACES; UNIQUENESS;
D O I：
10.1007/s00032-017-0271-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to study the uniqueness of a complete spacelike hypersurface immersed with constant mean curvature H in a spatially closed generalized Robertson-Walker spacetime , whose Riemannian fiber has positive curvature. Supposing that the warping function f is such that -log f is convex and along , we show that must be isometric to a totally geodesic slice of . When is a Lorentzian product space, we obtain a new Calabi-Bernstein type result concerning the CMC spacelike hypersurface equation.
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页码：235 / 245
页数：11
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