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

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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）.

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页码：201 / 209

页数：9

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