Extremal and weakly trapped submanifolds in generalized Robertson-Walker spacetimes

被引：2
|
作者：
Pelegrin, Jose A. S. [1 ]
机构：
[1] Univ Granada, Dept Didact Matemat, Granada 18071, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 02期
关键词：
Extremal submanifold; Weakly trapped submanifold; Mean curvature; Generalized Robertson-Walker spacetime; CONSTANT MEAN-CURVATURE; SPACELIKE HYPERSURFACES; GRAVITATIONAL COLLAPSE; SURFACES; UNIQUENESS;
D O I：
10.1016/j.jmaa.2021.125533
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we obtain new rigidity results for spacelike submanifolds of arbitrary codimension in Generalized Robertson-Walker spacetimes. Namely, under appropriate assumptions such as parabolicity we prove by means of some maximum principles that they must be contained in a spacelike slice. This enables us to characterize extremal and weakly trapped submanifolds in these ambient spacetimes. (C) 2021 Elsevier Inc. All rights reserved.
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页数：12
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