On Nonuniqueness of Geodesics and Geodesic Disks in the Universal Asymptotic Teichmüller Space

被引：2

作者：

Yi QI ^{[1
]}

Yan WU ^{[1
,2
]}

机构：

[1] LMIB and School of Mathematics and Systems Science,Beihang University

[2] School of Science,Linyi

来源：

ActaMathematicaSinica | 2017年 / 33卷 / 02期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The non-uniqueness on geodesics and geodesic disks in the universal asymptotic Teichmüller space AT（D） are studied in this paper. It is proved that if μ is asymptotically extremal in [[μ]] with hζ*（μ） < h*（μ） for some point ζ∈ ?D, then there exist infinitely many geodesic segments joining [[0]]and [[μ]], and infinitely many holomorphic geodesic disks containing [[0]] and [[μ]] in AT（D）.

引用

下载

页码：201 / 209

页数：9

共 50 条

[1] On nonuniqueness of geodesics and geodesic disks in the universal asymptotic Teichmüller space
Yi Qi
Yan Wu
Acta Mathematica Sinica, English Series, 2017, 33 : 201 - 209
[2] On Nonuniqueness of Geodesics and Geodesic Disks in the Universal Asymptotic Teichmüller Space
Yi QI
Yan WU
Acta Mathematica Sinica,English Series, 2017, (02) : 201 - 209
[3] On Nonuniqueness of Geodesics in Asymptotic Teichmüller Space
Guowu Yao
The Journal of Geometric Analysis, 2017, 27 : 1445 - 1467
[4] On nonuniqueness of geodesics and geodesic disks in the universal asymptotic Teichmuller space
Qi, Yi
Wu, Yan
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (02) : 201 - 209
[5] On nonuniqueness of geodesic disks in infinite-dimensional Teichmüller spaces
Guowu Yao
Monatshefte für Mathematik, 2016, 181 : 235 - 244
[6] On geodesics in asymptotic Teichmüller spaces
Jinhua Fan
Mathematische Zeitschrift, 2011, 267 : 767 - 779
[7] Geodesic discs in teichmüller space
Zhong Li
Science in China Series A: Mathematics, 2005, 48 : 1075 - 1082
[8] GEODESIC DISKS IN THE UNIVERSAL ASYMPTOTIC TEICHMULLER SPACE
Yao, Guowu
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (11) : 7707 - 7724
[9] Spirals and the Asymptotic Teichmüller Space
Hideki Miyachi
Computational Methods and Function Theory, 2014, 14 : 609 - 622
[10] Quantization of the universal Teichmüller space
A. G. Sergeev
Proceedings of the Steklov Institute of Mathematics, 2008, 263

← 1 2 3 4 5 →