双曲空间H^(n+p)(-1)中具常数量曲率的完备子流形(英文)  

Complete Submanifolds With Constant Scalar Curvature in the Hyperbolic Space

作　　者：舒世昌[1] 刘三阳[1] 

机构地区：[1]西安电子科技大学应用数学系

出　　处：《数学进展》2006年第2期155-166,共12页Advances in Mathematics（China）

基　　金：Foundation item: This research was supported by NSFC(No. 69972036) NSF of Shaanxi Province(No.2003A02).

摘　　要：设Mn是Hn+p(-1)中具有常标准数量曲率的n维完备子流形,本文证明了这种完备子流形的某些内蕴刚性定理和分类定理,并对超曲面的情形进行了研究．This paper investigates n-dimensional complete submanifolds with constant normalized scalar curvature in the hyperbolic space, and obtains some intrinsic rigidity theorems and classification theorems of the submanifolds as well as hypersurfaces.

关 键 词：双曲空间 子流形 常标准数量曲率 全脐 

分 类 号：O186.12[理学—数学]