On nonuniqueness of geodesics and geodesic disks in the universal asymptotic Teichmüller space

被引：0
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作者：
Yi Qi
Yan Wu
机构：
[1] Beihang University,LMIB and School of Mathematics and Systems Science
[2] Linyi University,School of Science
来源：
Acta Mathematica Sinica, English Series | 2017年 / 33卷
关键词：
Asymptotic Teichmüller space; geodesics; geodesic disks; holomorphic isometry; Teichmüller metric; 32G15; 30C62; 30F60;
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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：8
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