球面中具有半平行和二阶平行Mbius第二基本形式的超曲面

The Hypersurfaces in Unite Sphere with Semi-parallel and 2-order Parallel Mbius Second Fundamental Form

给出了单位球面上具有半平行和二阶平行M b ius第二基本形式的超曲面的分类,并且证明了如果M b ius第二基本形式是平行的,那么B laschke张量也是平行的.

In this paper, we classify the hypersudaces in unite sphere with semi - parallel and 2 - order parallel Moebius second fundamental form, and prove that if the Moebius second fundamental form is parallel ,then the Blaschke tensor is parallel.