| Busemann functions on RI( m, n ) and IV(n) |
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| 引用本文： | LI Qingzhong,SU Jianbing,JIANG Xiaofa. Busemann functions on RI( m, n ) and IV(n)[J]. 自然科学进展(英文版), 2003, 13(3): 173-178 |
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| 作者姓名： | LI Qingzhong SU Jianbing JIANG Xiaofa |
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| 作者单位： | Department of Mathematics, Capital Normal University, Beijing 100037, China,Department of Mathematics, Capital Normal University, Beijing 100037, China;Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China,Department of Mathematics, Capital Normal University, Beijing 100037, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 10071051 ) and Natural Science Foundation of Beijing (Grant No.1002004) |
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| 摘 要： | The Busemann function plays a very important role in studying topology and geometry of a complete Riemannian manifold. In this paper, the Busemann functions on the real classical domain of the first type and the Cartan domain of the fourth type in the explicit formulas are obtained.
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| 关 键 词： | Busemann function geodesic ray Cartan domain of the fourth type |
Busemann functions on RI( m, n ) and IV(n) |
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| LI Qingzhong,SU Jianbing,JIANG Xiaofa. Busemann functions on RI( m, n ) and IV(n)[J]. Progress in Natural Science, 2003, 13(3): 173-178 |
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| Authors: | LI Qingzhong SU Jianbing JIANG Xiaofa |
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| Affiliation: | Department of Mathematics, Capital Normal University, Beijing 100037, China,Department of Mathematics, Capital Normal University, Beijing 100037, China;Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China,Department of Mathematics, Capital Normal University, Beijing 100037, China |
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| Abstract: | The Busemann function plays a very important role in studying topology and geometry of a complete Riemannian manifold. In this paper, the Busemann functions on the real classical domain of the first type and the Cartan domain of the fourth type in the explicit formulas are obtained. |
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| Keywords: | Busemann function geodesic ray Cartan domain of the fourth type |
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