Biholomorphic isomorphisms between Teichmüller curves

被引：2
|
作者：
Shen Y. [1 ]
机构：
[1] Department of Mathematics, Suzhou University
来源：
Journal d’Analyse Mathématique | 2006年 / 100卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Riemann Surface; Homotopy Class; Quasiconformal Mapping; Quadratic Differential; Modular Group;
D O I：
10.1007/BF02916760
中图分类号：
学科分类号：
摘要：
We determine the biholomorphic isomorphisms between Teichmüller curves for torsion free Fuchsian groups. We show that, except in some special cases, a biholomorphic isomorphism between two Teichmüller curves is an allowable mapping; in particular, a biholomorphic automorphism of a Teichmüller curve is induced by an element of the modular group. As a by-product of the proof, we also obtain some topological results on self-mappings of surfaces.
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页码：191 / 209
页数：18
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