| 关于非负常曲率空间中度量平均的几个结果 |
| |
| 引用本文： | 杨世国. 关于非负常曲率空间中度量平均的几个结果[J]. 兰州大学学报(自然科学版), 2005, 41(6): 119-121 |
| |
| 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： | 安徽省跨世纪学术与技术带头人基金，安徽省教育厅科研项目 |
| |
| 摘 要： | 应用度量几何的理论与方法研究了非负常曲率空间中度量平均问题,建立了关于非负常曲率空间中度量平均的几个几何不等式,作为其特例得到关于欧氏空间和球面空间中度量平均的一些重要结果.
|
| 关 键 词： | 度量平均 单形 体积 外接球半径 |
| 文章编号： | 0455-2059（2005）06-0119-03 |
| 收稿时间： | 2003-12-26 |
| 修稿时间： | 2003-12-26 |
Some results on metric averaging in space with nonnegative constant curvature |
| |
| YANG Shi-guo. Some results on metric averaging in space with nonnegative constant curvature[J]. Journal of Lanzhou University(Natural Science), 2005, 41(6): 119-121 |
| |
| Authors: | YANG Shi-guo |
| |
| Affiliation: | Department of Mathematics, Anhui Institute of Education, Hefei, 230061, China |
| |
| Abstract: | Using the theory and method of metric geometry, we have studied the problem of metric averaging in space with nonnegative constant curvature. Some geometric inequalities for metric averaging in space with nonnegative constant curvature are established. As a special case, we have found some important results for metric averaging in the Euclidean space and spherical space. |
| |
| Keywords: | metric averaging simplex volume circumradius |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
