摘要
研究了积空间S^n×R中具有常平均曲率的完备超曲面,通过计算超曲面一些几何量的Laplace,运用Omori-Yau的一般性极值原理,得到一些刚性定理和一个不等式,给出完备超曲面的分类。
Complete hypersurfaces with constant mean curvature in Sn x R were investigated. By Laplace of some geometric quantities on hypersurfaces some rigidity theorems and an inequality were obtained with Omori- Yau＇s generalized maximum principle, and classification for hypersurfaces was given.
出处
《阜阳师范学院学报（自然科学版）》
2017年第2期6-8,共3页
Journal of Fuyang Normal University(Natural Science)
基金
安徽省高校自然科学研究重点项目(KJ2017A341)
阜阳师范学院青年人才重点项目(rcxm201714)
阜阳师范学院科研项目(2016FSKJ04)资助
关键词
积空间
完备超曲面
常平均曲率
product space
complete hypersurfaces
constant mean curvature
