双曲空间H^(n+1)(c)中具有平行Ricci曲率的常平均曲率超曲面

Hypersurfaces with Constant Mean Curvature with Parallel Ricci Curvature in Hyperbolic Space

本文主要研究Ricci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面,得到Simons型积分不等式,推广了一般的双曲空间中该曲率的有关结论。

This paper studies the hypersudaces with constant mean curvature in Riemannian with parallel Ricci curvature. Then we obtain an integral inequality of Simons＇ type. The conclusion of the curvature in Hyperbolic space is generalized.