NEW CHARACTERIZATIONS OF COMPLETE SPACELIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN SPACE FORMS

被引：21

作者：

Camillo Camargo, Fernanda Ester ^{[1
]}

Barreiro Chaves, Rosa Maria ^{[2
]}

Machado de Sousa, Lutz Amancio, Jr. ^{[3
]}

机构：

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

[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508090 Sao Carlos, SP, Brazil

[3] Univ Fed Estado Rio de Janeiro, Dept Matemat & Estatist, BR-22290240 Rio De Janeiro, Brazil

来源：

KODAI MATHEMATICAL JOURNAL | 2009年 / 32卷 / 02期

关键词：

De Sitter space; complete spacelike hypersurfaces; constant scalar curvature; CONSTANT SCALAR CURVATURE; MEAN-CURVATURE; SITTER SPACE; RIGIDITY THEOREMS; HYPERSURFACES; VECTOR;

D O I：

10.2996/kmj/1245982904

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study n-dimensional complete spacelike submanifolds with constant normalized scalar curvature immersed in semi-Riemannian space forms. By extending Cheng-Yau's technique to these ambients, we obtain results to such submanifolds satisfying certain conditions on both the squared norm of the second fundamental form and the mean curvature. We also characterize compact non-negatively curved submanifolds in De Sitter space of index p.

引用

页码：209 / 230

页数：22

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