A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE

doi:10.1016/S0252-9602(16)30003-0

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 334-344.doi: 10.1016/S0252-9602(16)30003-0

A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE

吴艳^1,2, 漆毅³

1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China;
2. School of Science, Linyi University, Shandong 276005, China;
3. LMIB and School of Mathematical Science and Systems Science, Beihang University, Beijing 100191, China

收稿日期:2015-04-22 出版日期:2016-04-25 发布日期:2016-04-25
作者简介:Yan WU,E-mail:wuyan@lyu.edu.cn;Yi QI,E-mail:yiqi@buaa.edu.cn

A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE

Yan WU^1,2, Yi QI³

1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China;
2. School of Science, Linyi University, Shandong 276005, China;
3. LMIB and School of Mathematical Science and Systems Science, Beihang University, Beijing 100191, China

Received:2015-04-22 Online:2016-04-25 Published:2016-04-25

摘要/Abstract

摘要：

The geometry of Teichmüller metric in an asymptotic Teichmüller space is studied in this article. First, a binary infinitesimal form of Teichmüller metric on AT(X) is proved. Then, the notion of angles between two geodesic curves in the asymptotic Teichmüller space AT(X) is introduced. The existence of such angles is proved and the explicit formula is obtained. As an application, a sufficient condition for non-uniqueness geodesics in AT(X) is obtained.

关键词: Angles of asymptotic Teichmüller space, geodesic segment, Finsler structure, Boundary dilatation

Abstract:

Key words: Angles of asymptotic Teichmüller space, geodesic segment, Finsler structure, Boundary dilatation

中图分类号:

32G15

吴艳, 漆毅. A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE[J]. 数学物理学报(英文版), 2016, 36(2): 334-344.

Yan WU, Yi QI. A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE[J]. Acta mathematica scientia,Series B, 2016, 36(2): 334-344.

参考文献

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A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE

A BINARY INFINITESIMAL FORM OF TEICHMÜLLER METRIC AND ANGLES IN AN ASYMPTOTIC TEICHMÜLLER SPACE

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