S^(n+1)中超曲面的平移超曲面  

Translation Hypersurfaces of Hypersurfaces in S^(n+1)

作　　者：杨翠莲[1] 

机构地区：[1]云南师范大学数学学院

出　　处：《云南师范大学学报（自然科学版）》2013年第3期26-32,共7页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(10861013)

摘　　要：首先给出Sn+1中超曲面与其平移超曲面的主曲率之间的关系,再给出高阶平均曲率的概念,在此基础上给出若将Sn+1中的超曲面平移到极小超曲面时其主曲率应满足的条件。In this paper, we first give the relations between the principal curvature of the hyper surfaces in Sn＋1 and its translation hypersurfaces, and the notation of higher-order mean curvature. In particular, we research the general situation, and get the conditions which are satisfied by the principal curvature of hypersurfaces in Sn＋1, if we translate hypersurfaces in Sn＋1 to the minimal surfaces.

关 键 词：高阶平均曲率 高斯映射 主曲率 极小超曲面 平移超曲面 

分 类 号：O186.16[理学—数学]