西北师范大学学报（自然科学版）2016，Vol.52Issue(6)：35-37,3.DOI:10.16783/j.cnki.nwnuz.2016.06.007
单位球面Sn+1（1）中有常数平均曲率的紧致闭超曲面的全脐性
Totally umbilical property of compact closed hyper-surfaces with constant mean curvature in the positive curvature space form
摘要
Abstract
Compact closed hyper-surfaces in the positive curvature space form are studied.By using a known integral formula,the totally umbilical property of compact closed hyper-surfaces with constant mean curvature is proved.The result gives an uniqueness conclusion for hyper-surfaces of this type.关键词
紧致闭超曲面/常平均曲率/全脐性/单位球面Key words
compact closed hyper-surface/constant mean curvature/totally umbilical property/positive curvature space form分类
数理科学引用本文复制引用
王琪..单位球面Sn+1（1）中有常数平均曲率的紧致闭超曲面的全脐性[J].西北师范大学学报（自然科学版）,2016,52(6):35-37,3.基金项目
贵州省科学技术基金资助项目(黔科合 J 字[2014]2005) （黔科合 J 字[2014]2005）
