| Excess函数的性质及其应用 |
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| 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) |
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| 作者姓名： | 巩军胜 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 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.
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| 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 |
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| GONG Jun-sheng. The Properties of Excess Function and Its Application[J]. Journal of Gansu Sciences, 2008, 20(4) |
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| Authors: | GONG Jun-sheng |
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| Affiliation: | College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China |
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| 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. |
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| Keywords: | Ricci curvature Excess function finite topological type diffeomorphic |
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