紧致极小子流形的积分不等式及其性质

The Integral Inequality of Compact Minimal Submanifolds and Their Properties

利用数量曲率 ,建立了紧致极小子流形的内蕴积分不等式 ,并依此对第二基本形式长度的平方满足某些条件的紧致极小子流形 。

Intrinsic integral inequality of compact minimal submanifolds by scalar curvature are set up.When square of second fundamental form length satisfies some conditions,the properties of compact minimal submanifolds are characted.