%0 Journal Article
%T 伪黎曼空间型中具有常数量曲率的类空子流形<br>Space-like submanifolds with constant scalar curvature in the pseudo-Riemannian space forms
%A 文海燕
%A 刘建成&lt
%A br&gt
%A WEN Hai-yan
%A LIU Jian-cheng
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2017.021
%X 摘要： 设M n是伪黎曼空间型N n+pq(c)(1≤q≤p)中具有常数量曲率R的n维完备类空子流形。 假定M n在N n+pq(c)中的第二基本形式是局部类时的情况下, 应用Simons型不等式以及Cheng-Yau引进的二阶微分算子, 得到了M n的一个刚性结果。<br>Abstract: Let M n be a space-like submanifold immersed in a pseudo-Riemannian space form N n+pq(c) with constant scalar curvature. Assume the second fundamental form of M n in N n+pq(c) is locally time-like, by applying Simons inequality and Cheng-Yau modified operator, a rigidity theorem of M n is obtained
%K 伪黎曼空间型
%K 类空子流形
%K 第二基本形式
%K 常数量曲率
%K &lt
%K br&gt
%K pseudo-Riemannian space form
%K space-like submanifold
%K constant scalar curvature
%K the second fundamental form
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.021