一般伪黎曼流形中的2-调和类空子流形

摘要

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.%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。