双曲空间Hn+p(-1)中具常数量曲率的完备子流形

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.