首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Hypersurfaces in a sphere with constant mean curvature
Authors:Zhong Hua Hou
Institution:Department of Mathematics, Tokyo Institute of Technology, Japan - Department of Applied Mathematics, Dalian University of Technology, People's Republic of China
Abstract:Let $M^n$ be a closed hypersurface of constant mean curvature immersed in the unit sphere $S^{n+1}$. Denote by $S$ the square of the length of its second fundamental form. If $S<2\sqrt {n-1}$, $M$ is a small hypersphere in $S^{n+1}$. We also characterize all $M^n$ with $S=2\sqrt {n-1}$.

Keywords:
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号