摘要
本文利用Gauss方程得到了常曲率空间中超曲面的平均曲率的一些估计,进而得到了超曲面的一些整体定理;最后利用E^3中曲面的全中曲率的共形不变性以及Gauss Bonnet定理,得到了第二基本形式模方积分的共形不变性。
By using the Gauss equation, some estimations of the mean curvature of the hypersurface in the space of ordinary curvature was obtained and furthermore some whole theorems were obtained,too. Finally a confor-mal invariability of norm integrate of the second fundamental form was obtained by using the Conformal invariability of the total mean curvature of the surface in E3 and the Gauss Bonnet theorem.
