de Sitter空间中具有平行平均曲率向量的紧致伪脐类时子流形  

The compact pseudo-umbilical time-like submanifolds with parallel mean curvature vector in de Sitter spaces

作　　者：胡有婧[1] 纪永强[2] 

机构地区：[1]宁夏大学数学计算机学院,银川750021 [2]湖州师范学院理学院,湖州313000

出　　处：《黑龙江大学自然科学学报》2015年第1期42-48,共7页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金地区科学基金资助项目(11261042);国家自然科学基金青年科学基金资助项目(11201253)

摘　　要：直接推导de Sitter空间中的类时子流形的Ricci恒等式和第二基本形式长度平方的Laplacian,得到de Sitter空间中的具有平行平均曲率向量的紧致伪脐类时子流形成为全脐子流形的一些充分条件。The submanifolds in de Sitter space is divided into space-like submanifolds, light-like submanifolds and time-like submanifolds. A lot of conclusions are Sitter space. The compact time-like submanifolds in de Sitter given for the space-like submanifolds in de space are usually converted to the spacelike submanifolds in anti-de Sitter space. By calculating the Ricci identity and the Laplacian about the squared norm of the second fundamental form for the time-like submanifolds in de Sitter space, some sufficient conditions for the compact pseudo-umbilical time-like submanifold with parallel mean curvature vector in de Sitter space are given directly.

关 键 词：de SITTER空间 Ricci恒等式 类时 全脐 

分 类 号：O186.12[理学—数学]