TOTAL CURVATURE OF PSEUDO-UMBILICAL SURFACE

【摘要】 <正> It is a well-known fact that the total curvature of a minimal surface in the Euclidean space E~n is equal to the negative of the volume of its image under the Gaussian map. Recently, Professor Chen Zhihua established similar results for the minimal surfaces in sphere S~n and pseudo-sphere H~n respectively (Kexue Tongbao, 31(1986), 12: 793—797). Let M be a surface of an n-dimensional Riemannian更多还原