中文摘要：

为有在一种空间形式的平行吝啬的弯曲和积极弯曲的潜水艇 manifolds 的一条几何刚硬定理被证明。它由于 S. T 是著名刚硬定理的归纳。Yau 和其它。

英文摘要：

A geometric rigidity theorem for submanifolds with parallel mean curvature and positive curvature in a space form is proved. It is a generalization of the famous rigidity theorems due to S. T. Yau and others.