| 关于复双曲流形中领口的一点注记 |
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| 引用本文： | 李娜,李长军. 关于复双曲流形中领口的一点注记[J]. 山东大学学报(理学版), 2010, 45(4): 39-42 |
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| 作者姓名： | 李娜 李长军 |
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| 作者单位： | 中国海洋大学数学科学学院,山东,青岛,266071 |
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| 基金项目： | 教育部留学服务中心留学回国人员科学启动基金 |
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| 摘 要： | 给出在PU(2,1))中乘子为el/2eiθ的斜驶元素的轴的长度与其管的存在性的关系。得出关于测地线的嵌入领口的体积,给出在2维的复双曲流形中两条足够短的,简单的闭测地线之间最小距离的下界。
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| 关 键 词： | 测地线 领口 管 |
| 收稿时间： | 2009-07-15 |
A note on the collars in complex hyperbolic manifolds |
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| LI Na,LI Chang-jun. A note on the collars in complex hyperbolic manifolds[J]. Journal of Shandong University, 2010, 45(4): 39-42 |
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| Authors: | LI Na LI Chang-jun |
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| Affiliation: | School of Mathematical Sciences, Ocean University of China, Qingdao 266071, Shandong, China |
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| Abstract: | The relationships between the length of the axes of a loxodromic element and the existence of a precisely invariant tube about the axis are studied. The volume of the embedded collar about a geodesic is obtained. Finally, the lower bound of the minimum distance between two distinct, short, simple, closed geodesics in a complex hyperbolic 2-manifold is given.
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| Keywords: | geodesic collars tube |
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