局部对称伪黎曼流形中2-调和类空子流形的刚性

The rigidity of biharmonic space-like submanifolds in locally symmetric pseudo-Riemannian manifold

局部对称伪黎曼流形中2-调和类空子流形的刚性性质被研究。通过活动标架法和Hopf原理,证明了这类子流形在常平均曲率或者紧致的情况下是极大的,得出两个刚性定理,改进了相关结果。

The rigidity of biharmonic space-like submanifolds in locally symmetric pseudo-Riemannian manifold is studied. Using moving-frame method and Hopf lemma, it was proved that submanifolds with constant mean curvature or in compact state are maximal. Two rigidity theorems were then obtained and the related results were thus improved.