空间形式中子流形的积分不等式

Integral Inequalites of Submanifolds in Space Forms

研究空间形式中常平均曲率的紧致子流形，建立了一个关于截曲率下界估计的不等式，通过计算和估计第二基本形式长度平方的Ｌａｐｌａｃｉａｎ。

This paper deals with the compact submanifolds of constant mean curvature in space forms.An inequality is made for estimating the lower bound of the sectional curvature by means of calculating and estimating Laplacian of the square of the length of the second fundamental form.An integral inequality of S.T.Yau′s type for the scalar curvature is obtained.