A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds

被引：36

作者：

Caminha, A. ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, BR-50455760 Fortaleza, Ceara, Brazil

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2006年 / 24卷 / 06期

关键词：

Lorentz manifolds; spacelike hypersurfaces; constant mean curvature; scalar curvature;

D O I：

10.1016/j.difgeo.2006.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper We use the standard formula for the Laplacian of the squared norm of the second fundamental form and the asymptotic maximum principle of H. Omori and S.T. Yau to classify complete CMC spacelike hypersurfaces of a Lorentz ambient space of nonnegative constant sectional curvature, under appropriate bounds on the scalar curvature. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：652 / 659

页数：8

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