西北师范大学学报(自然科学版)2012,Vol.48Issue(1):6-10,21,6.
球面中具有平行单位平均曲率向量的完备子流形
Complete submanifolds with parallel normalized mean curvature vector in spheres
摘要
Abstract
Complete submanifolds with parallel normalized mean curvature vector in spheres are studied. By using the generalized maximal principle, the sufficient condition for submanifolds being a totally umbilical ones is obtained.关键词
球面/完备子流形/平行单位平均曲率向量/全脐/广义极大值原理Key words
sphere/ complete submanifold/ parallel normalized mean curvature vector/ totally umbilical/ generalized maximal principle分类
数理科学引用本文复制引用
刘建成,张晶晶..球面中具有平行单位平均曲率向量的完备子流形[J].西北师范大学学报(自然科学版),2012,48(1):6-10,21,6.基金项目
国家自然科学基金资助项目(10871138) (10871138)