关于紧致定向伪脐子流形的内蕴刚性  

ON THE INTRINSIC RIGIDITY OF COMPACT PSEUDOUMBILICAL SUBMANIFOLD SHU SHICHANG

作　　者：舒世昌 

机构地区：[1]陕西咸阳师专

出　　处：《新疆师范大学学报（自然科学版）》1995年第2期1-7,共7页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：本文获得了常曲率空间中紧致定向伪脐子流形的几个内蕴刚性积分不等式。作为推论改进了球面上紧致定向极小子流形的若干经典Pinching定理。In this paper ,we prove the following theorem:Theoreml: Let M be an oriented compact pseudo-umbilical submanifold of N^(n+p),thenTheorem 2. Let M be an oriented compact pseudo - umbilical submanifold of Nn+p,Theorem 3. Let M be an oriented compact pseudo - umbilical submanifold of N^(n+p), thenWhen N^(n+p) = S_((1))^(n+p) ,M is minimal submanifold i.e. λ= 0,c = l,We improve some intrin-sic rigidity theorems which are very important.

关 键 词：伪脐子流形 内蕴刚性 曲率拚挤 

分 类 号：O186.1[理学—数学]