| 常曲率空间中有限点集的两类几何不等式 |
| |
| 引用本文： | 杨世国.常曲率空间中有限点集的两类几何不等式[J].数学杂志,2006,26(6):665-668. |
| |
| 作者姓名： | 杨世国 |
| |
| 作者单位： | 安徽教育学院数学系,安徽合肥,230061 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 有限点集 单形 体积 外接球半径 不等式 |
| 文章编号： | 0255-7797（2006）06-0665-04 |
| 收稿时间： | 2004-08-27 |
| 修稿时间： | 2004-08-272005-01-24 |
TWO CLASSES OF GEOMETRIC INEQUALITIES OF FINITE POINT SET IN SPACE WITH CONSTANT CURVATURE |
| |
| YANG Shi-guo.TWO CLASSES OF GEOMETRIC INEQUALITIES OF FINITE POINT SET IN SPACE WITH CONSTANT CURVATURE[J].Journal of Mathematics,2006,26(6):665-668. |
| |
| Authors: | YANG Shi-guo |
| |
| Institution: | Dept. of Math, Anhui Institute of Education, Hefei 230061, China |
| |
| Abstract: | 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. |
| |
| Keywords: | finite point set simplex volume circumradius inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
