关于紧致极小子流形

On Compact Minimal Submanifolds

研究单位球面中紧致极小子流形，计算和估计第二基本形式长度的平方的Ｌａｐｌａｃｉａｎ，引进一个矩阵不等式，运用散度定理得到了一个Ｓｉｍｏｎｓ型积分不等式．

This note deals with the compact minimal submanifolds in a unit sphere, the Laplaciano f the square of the length of the second fundamental form is calculated and estimated. By meanso f a matrix inequality and the divergence theorem, an integral inequality Of Simons type isobtained.