CH^n中的等参超曲面

Isoparametric Hypersurface in CH^n

M是CHn中的等参超曲面,e是M上的单位法向量场,当J(e)是主向量时,证明了M的不同主曲率数只能是2或3;M=π-1(M)是H12n+1中的等参超曲面,不同的主曲率数是1,2,4.

Let M be a isoparametric hypersurface in CH n,e is a unit normal vector,when J(e)is a principal direction,this paper proves that the number of distinct principal curvatures of M can be only 2 or 3;M=π -1 (M)is a isoparametric hypersurface in H 2n+1 1 with 1,2 or 4 distinct principal curvatures.