Complete space-like submanifolds in locally symmetric semi-definite spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Complete space-like submanifolds in locally symmetric semi-definite spaces

Authors:	Xu?Senlin author-information" > author-information__contact u-icon-before" > mailto:xusl@ccnu.edu.cn" title=" xusl@ccnu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Chen?Dongmei

Affiliation:	Xu Senlin and Chen DongmeiDepartment of MathematicsUniversity of Science and Technology of ChinaHeifei 230026R. R. China

Abstract:	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.

Keywords:	space-like submanifolds constant mean curvature flat normal bundle second fundamental form locally symmetric semi-definite space SPACES LOCALLY SYMMETRIC SUBMANIFOLDS totally umbilical characterized optimal estimate Laplacian flat normal bundle the second fundamental form submanifolds purpose paper study complete parallel mean curvature vector locally symmetric space conditions
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