A binary infinitesimal form of teichmüller metric and angles in an asymptotic teichmüller space

Yan Wu; Yi Qi

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

A binary infinitesimal form of teichmüller metric and angles in an asymptotic teichmüller space

Yan Wu
, Yi Qi

数学科学学院

Beihang University
Linyi University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

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.

源语言	英语
页（从-至）	334-344
页数	11
期刊	Acta Mathematica Scientia
卷	36
期	2
DOI	https://doi.org/10.1016/S0252-9602(16)30003-0
出版状态	已出版 - 1 3月 2016

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title = "A binary infinitesimal form of teichm{\"u}ller metric and angles in an asymptotic teichm{\"u}ller space",

abstract = "The geometry of Teichm{\"u}ller metric in an asymptotic Teichm{\"u}ller space is studied in this article. First, a binary infinitesimal form of Teichm{\"u}ller metric on AT(X) is proved. Then, the notion of angles between two geodesic curves in the asymptotic Teichm{\"u}ller 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.",

keywords = "Angles of asymptotic Teichm{\"u}ller space, Boundary dilatation, Finsler structure, Geodesic segment",

author = "Yan Wu and Yi Qi",

note = "Publisher Copyright: {\textcopyright} 2016 Wuhan Institute of Physics and Mathematics.",

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doi = "10.1016/S0252-9602(16)30003-0",

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T1 - A binary infinitesimal form of teichmüller metric and angles in an asymptotic teichmüller space

AU - Wu, Yan

AU - Qi, Yi

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Angles of asymptotic Teichmüller space

KW - Boundary dilatation

KW - Finsler structure

KW - Geodesic segment

UR - https://www.scopus.com/pages/publications/84958165861

U2 - 10.1016/S0252-9602(16)30003-0

DO - 10.1016/S0252-9602(16)30003-0

M3 - 文章

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SN - 0252-9602

VL - 36

SP - 334

EP - 344

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

A binary infinitesimal form of teichmüller metric and angles in an asymptotic teichmüller space

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