伪球面S_ν~n上的常(负)曲率极小曲面

MINIMAL SURFACES WITH CONSTANT NEGATIVE CURVATURE IN THE PSEUDO-SPHERE S_ν~n

运用作用在伪欧氏向量值Able形式上的微分算子 与 ,证明了伪球面Snν 上不存在高斯曲率K

This paper proves that none of minimal surfaces with constant negative Gaussian curvature is immessed in the pseudo-sphere S n ν,by using differential operators  and  which operate on Abel forms valued in pseudo-Euclidean vector bundle.