双曲空间形式中的全脐超曲面与高阶平均曲率
TOTALLY UMBILICAL HYPERSURFACES IN THE HYPERBOLA SPACE FORM AND HIGHER ORDER MEAN CURVATURES

本文研究了双曲空间形式中等距浸入的紧致无边超曲面的全脐性质和高阶平均曲率.利用高阶平均曲率积分估计的方法，获得了一个新的定理，改进了这个研究方向上有关的最近结果.
In this paper, we study the totally umbilical property of hyper-surfaces in the hyperbola space form and higher order mean curvatures. Under a weaker condition on higher mean curvatures, we give a new theorem to improve and generalize some recent results in the research field