般伪黎曼流形中的2-调和类空子流形
BIHARMONIC SPACE-LIKE SUBMANIFOLDS IN PSEUDO-RIEMANNIAN MANIFOLD

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.
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