摘要
研究de Sitter空间中具有平行平均曲率的类空子流形,在关于子流形的第二基本量的整体Pinching条件下,利用Sobolev不等式和梯度估计的方法,证明类空子流形为全脐的几个刚性定理.
In the paper we studied the space-like submanifolds with paraller mean curvature vector in a de Sitter space. By using the Sobolev inequality and Gradient estimates we have proved some rigidity theorems for the space-like submanifold in a de Sitter space to be totally umbilical under the global pinching conditions of second fundamental quantity on submanifolds.
出处
《杭州师范学院学报（自然科学版）》
2007年第3期164-168,共5页
Journal of Hangzhou Teachers College(Natural Science)
