ON COMPACT SUBMANIFOLDS IN THE SPHERE  

作　　者：陈卿 徐森林 陈广华 杨庆 

机构地区：[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, PRC

出　　处：《Chinese Science Bulletin》1992年第5期437-438,共2页

基　　金：Project supported partially by the National Natural Science Foundation of China

摘　　要：Let Mⁿ be an n-dimensional compact submanifold in a unit sphere S^n+p, S be the square of the length of the second fundamental form of Mⁿ. S. T. Yau proved that if the mean curvature vector is parallel and S≤n/(n^1/2+3-1/（p-1）) everywhere on Mⁿ then Mⁿ lies in a totally geodesic Sⁿ⁺¹. The constant has been improved to max,

关 键 词：EVERYWHERE totally CURVATURE LENGTH 洲明 TORUS 动功 

分 类 号：N[自然科学总论]