实双曲空间中具有常数平均曲率的超曲面

Hypersurfaces with constant mean curvature in hyperbolic space

设M是实双曲空间H^(n+1)中的具有常数平均曲率的紧致超曲面,通过引进一个二阶对称张量Φ,本文给出了一个使得M是全脐的或是环面的条件.

Let M be a compact hypersurface of a hyperbolic space with constant mean curvature H. The auther introduces a tensor O, related to H and the second funeamental form, and give a gap theorem.