中北大学学报（自然科学版）2017，Vol.38Issue(3)：260-263,4.DOI:10.3969/j.issn.1673-3193.2017.03.002
单位球面中Clifford环面的刚性定理
Rigidity Theorem of Clifford Torus in a Unit Sphere
摘要
Abstract
Compact minimal hypersurface Mn in Sn+1(1) with constant scalar curvature was investigated.Assume that Mn has n-1 principal curvatures with the same sign everywhere.Through using the second fundamental form, a function is defined.By calculating the Laplace of this function, a inequality can be obtained.At last, using integration, it draws the conclusion that Mn is a Clifford Torus S11-r2×Sn+1(r).关键词
主曲率/数量曲率/Clifford环Key words
principal curvature/scalar curvature/Clifford torus分类
数理科学引用本文复制引用
胡传峰,姬秀..单位球面中Clifford环面的刚性定理[J].中北大学学报（自然科学版）,2017,38(3):260-263,4.基金项目
湖北省教育厅科学技术研究基金资助项目(B2016453, B2016458) （B2016453, B2016458）
