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.

引用

页数：12

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