H^(n+1)(c)中的有限型球型旋转曲面

SPHERICAL ROTATIONAL SURFACES OF FINITE TYPE IN H ^(n+1) (c)

研究En + 21中双曲空间的坐标函数是其Laplacian的特征函数的球型旋转曲面Mn,得到Mn 或为Hn + 11(c)的极小超曲面 ,或者可与Sn -11(a-2 )×H1(1c-1-a2 )叠合。

Properties of the spherical rotation hypersurface M n whose coordinate functions are proper functions of their Laplaces in H n+1 (c) are studied.Further,the following result is obtained:M n is either a minimal hypersurface or congruent to S n-1 (a -2 )×H 1(1c -1 -a 2).