单形中面的几何不等式

Some Geometric Inequalities for the Middle Sections of a Siomplex

利用距离几何的理论与方法,研究n维单形中面的不等式问题,建立了单形k维中面的一类几何不等式,并给出它的一些应用。

Using theory and method of distance geometry, we study the problem about inequalities for the middle sections of an n-simplex. Some geometric inequalities for the k-dimensional middle sections of a simplex are established ,and some applications are given.