Hopf流形的全脐实超曲面

Totally umbilical real hypersurfaces of a Hopf manifold

研究了Ｈｏｐｆ 流形的全脐实超曲面的微分几何，在一定条件下给出了全脐实超曲面的分类定理，同时利用Ｏｂａｔａ 定理得到一个关于Ｈｏｐｔ

The present paper studies the differential geometry of a totally umbilical real hypersurface of a hopf manifold.A classification theorem of totally umbilical real hypersurfaces is give,in the meantime, it is obtained that a sufficient sondition for a totally umbilical real hypersurface to be isometric with a sphere using the known Obatas theorem