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J4 ›› 2010, Vol. 45 ›› Issue (4): 39-42.

• 论文 • 上一篇    下一篇

关于复双曲流形中领口的一点注记

李娜,李长军*   

  1. 中国海洋大学数学科学学院, 山东 青岛 266071
  • 收稿日期:2009-07-15 出版日期:2010-04-10 发布日期:2010-05-19
  • 通讯作者: 李长军(1965-),男,博士,副教授,研究方向为复分析.
  • 作者简介:李娜(1985-),女,硕士研究生,研究方向为复分析.Email: mengyifei001@163.com
  • 基金资助:

    教育部留学服务中心留学回国人员科学启动基金资助项目(1474)

A note on the collars in complex hyperbolic manifolds

LI Na, LI Chang-jun*   

  1. School of Mathematical Sciences, Ocean University of China, Qingdao 266071, Shandong, China
  • Received:2009-07-15 Online:2010-04-10 Published:2010-05-19

摘要:

给出在PU(2,1))中乘子为el/2 e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。

关键词: 测地线;领口;管

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.
 

Key words: geodesic; collars; tube

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