The compact hypersurfaces with constant scalar curvature in a Riemannian space form are studied , and an estimate of constant scalar curvature is obtained . As a result of this estimation , a rigidity theorem of such hypersurfaces is proved .%设 Mn为等距浸入到黎曼空间型N n＋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。
展开▼
