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

作　　者：杨世国[1] 

机构地区：[1]安徽教育学院数学系,安徽合肥230061

出　　处：《数学杂志》2006年第6期665-668,共4页Journal of Mathematics

基　　金：安徽省跨世纪学术带头人选科研项目(2005HBZ05);安徽省教育厅自然科学研究项目(2005kj210).

摘　　要：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.

关 键 词：有限点集 单形 体积 外接球半径 不等式 

分 类 号：O184[理学—数学]