r-STABLE SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES

被引：4

作者：

Camargo, Fernanda ^{[1
]}

Caminha, Antonio ^{[1
]}

de Lima, Henrique Fernandes ^{[2
]}

Velasquez, Marco Antonio ^{[2
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

[2] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58109970 Campina Grande, Paraiba, Brazil

来源：

KODAI MATHEMATICAL JOURNAL | 2011年 / 34卷 / 03期

关键词：

Higher order mean curvatures; r-stability; Conformally Stationary Spacetimes; de Sitter space; CONSTANT MEAN-CURVATURE; INTEGRAL FORMULAS; SITTER SPACE; STABILITY; UNIQUENESS;

D O I：

10.2996/kmj/1320935545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the r-stability of closed spacelike hypersurfaces with constant r-th mean curvature in conformally stationary spacetimes of constant sectional curvature. In this setting, we obtain a characterization of r-stability through the analysis of the first eigenvalue of an operator naturally attached to the r-th mean curvature. As an application, we treat the case in which the spacetime is the de Sitter space.

引用

页码：339 / 351

页数：13

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