%0 Journal Article %T 般伪黎曼流形中的2-调和类空子流形<br>BIHARMONIC SPACE-LIKE SUBMANIFOLDS IN PSEUDO-RIEMANNIAN MANIFOLD %A 作者 %A 周俊东 %A 宋卫东 %A 姚云飞 %J 数学杂志 %D 2015 %X 本文研究了一般伪黎曼流形中的2-调和类空子流形的有关性质.利用活动标架法和Hopf原理,给出了2-调和子流形是极大的几个充分条件,得到一个Simons型积分不等式并推广了相关结果.<br>In this paper,we study biharmonic space-like submanifolds in pseudo-Riemannian manifold.By using moving-frame method and Hopf lemma,we give several sufficient conditions which make biharmonic submanifold turn into maximal submnifold.We obtain integral inequality of Simons' type and improve the known results %K 伪黎曼流形 2-调和类空子流形 Simons型积分不等式 全测地< %K br> %K pseudo-Riemannian manifold biharmonic space-like submanifolds integral inequality of Simons'type totally geodesic %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150420&flag=1