常曲率空间中有限点集的两类几何不等式

TWO CLASSES OF GEOMETRIC INEQUALITIES OF FINITE POINT SET IN SPACE WITH CONSTANT CURVATURE

应用距离几何的理论与方法,研究了n维常曲率空间中有限点集的一些几何度量之间关系,建立了常曲率空间中有限点集的两类几何不等式,推广了已有的结果.

In this papar, we study the relations among some geometric metris for finite point sets in space with constant curvature by theory and method of distance geometry. Two clases of geometric inequalities of finite point sets in the space with constant curvature are established, and some known results are extened.