COMPLETE SPACE-LIKE SUBMANIFOLDS IN LOCALLY SYMMETRIC SEMI-DEFINITE SPACES

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Xu Senlin;Chen Dongmei

【期刊名称】《分析、理论与应用（英文版）》【年(卷),期】2004(020)004

【摘要】The purpose of this paper is to study complete space-like submanifolds with parallel mean curvature vector and flat normal bundle in a locally symmetric semi-defnite space satisfying some curvature conditions. We first give an optimal estimate of the Laplacian of the squared norm of the second fundamental form for such submanifold. Furthermore, the totally umbilical submanifolds are characterized.

【总页数】8页(383-390)

【关键词】space-like submanifolds;constant mean curvature;flat normal bundle;second fundamental form;locally symmetric semi-definite space 【作者】Xu Senlin;Chen Dongmei

【作者单位】University of Science and Technology, China;University of Science and Technology, China 【正文语种】中文【中图分类】O1 【相关文献】

1.A Class of Complete Hypersurfaces Immersed in Semi-Riemannian

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