中文摘要：

本文首先研究欧氏空间R^n中的凸超曲面,对所有维数的著名的Ros定理进行推广并得到更好的结果.对一般超曲面的Ros定理,给出几何化的简单证明.

英文摘要：

We first investigate the convex hypersurfaces in the Euclidean spaces R^n. We obtain some geometric inequalities that generalize and refine the known Ros＇ theorem for all dimensions n.We also give a fundamental geometric proof of Ros＇ theorem for higher dimensions.