| Excess函数的性质及其应用 |
| |
| 引用本文： | 巩军胜.Excess函数的性质及其应用[J].甘肃科学学报,2008,20(4). |
| |
| 作者姓名： | 巩军胜 |
| |
| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
| |
| 摘 要： | 证明了Ric(M)≥-(n-1)完备非紧的n维黎曼流形M,若其上某一点的Excess函数有上界(常数)时,M就具有有限拓扑型或微分同胚于Rn.
|
| 关 键 词： | RICCI曲率 Excess函数 有限拓扑型 微分同胚 |
The Properties of Excess Function and Its Application |
| |
| GONG Jun-sheng.The Properties of Excess Function and Its Application[J].Journal of Gansu Sciences,2008,20(4). |
| |
| Authors: | GONG Jun-sheng |
| |
| Institution: | College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China |
| |
| Abstract: | It is paper our proved that a complete noncompact n-dimensional Riemanian manifolds M with Ric(M)≥-(n-1) is of a finite topological type or is diffeomorphic to Rn when its excess is bounded by a constant. |
| |
| Keywords: | Ricci curvature Excess function finite topological type diffeomorphic |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
