伪黎曼空间型的2-调和类空子流形  

2-Harmonic Space-like Submanifolds in a Pseudo-Riemannian Space Form

作　　者：朱业成[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽省芜湖241000

出　　处：《吉林大学学报（理学版）》2006年第6期869-872,共4页Journal of Jilin University:Science Edition

基　　金：安徽省教育厅自然科学重点研究项目基金(批准号:2004kj166zd)

摘　　要：研究伪黎曼空间型的2-调和类空子流形,通过计算,获得了这种子流形上一个Simons型积分不等式.对该子流形进行一定限制,使其成为极大类空子流形,再利用Simons型积分不等式,分别讨论了外围空间伪黎曼空间型截面曲率为正、负或零时子流形的各种性质,得到了一系列结果.2-Harmonic space-like submanifolds in a pseudo-Riemannian space form was studied, and a Simons form inequality of integration was obtained via calculations. After the submanifold was restricted it became a maximal space-like submanifold, and the Simons form integral inequality was used to discuss the submanifold properties when the sectional curvature of the pseudo-Riemannian space form is positive, negative and zero, respectively, and some results were obtained.

关 键 词：2-调和映射 全测地 类空子流形 

分 类 号：O186[理学—数学]