中文摘要：

设Mn为等距浸入到黎曼空间型Nn＋1（c）中的具有常数量曲率的紧致超曲面,得到了数量曲率的一个估计,并应用它证明了该类超曲面的一个刚性分类结果.

英文摘要：

The compact hypersurfaces with constant scalar curvature in a Riemannian space form arestudied, and an estimate of constant scalar curvature is obtained. As a result of this estimation, a rigidity theorem of such hypersurfaces is proved.