Exponential Thurston maps and limits of quadratic differentials
Exponential Thurston maps and limits of quadratic differentials
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DOI：
10.1090/s0894-0347-08-00609-7
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发表时间：
2008-07
影响因子：
3.9
通讯作者：
J. Hubbard;D. Schleicher;Mitsuhiro Shishikura
中科院分区：
文献类型：
--
作者：
J. Hubbard;D. Schleicher;Mitsuhiro Shishikura
目录1.导言2.文件的结构安排3 2.特征定理4 2.1.主要定理的定义和陈述4 2.2.后奇异有限指数映射的分类4 3. Teichmüler空间中的迭代6 3.1.拓扑指数映射的Teichmüler空间7 3.2. Teichmüler度量及其对偶8 3.3。二次微分的例子9 3.4.主要定理的证明2.4 10 4.分解定理13 4.1.二次微分的粗细分解定理14 4.2. 4.3.第一次见面二次微分适应于短封闭测地线17 4.4的组成部分。适用于厚部20 5的二次微分的分量。二次微分的极限22 5.1.极限模型22 5.2. 5.3.第一次第27集6.二次微分的推进30附录A。关于黎曼曲面的一些一般结果35 A.1.双曲黎曼曲面上的领36 A.2.质量/模量是凸的37鸣谢39参考文献39
Contents 1. Introduction 2 Organization of the paper 3 2. The characterization theorem 4 2.1. Definitions and statement of the main theorem 4 2.2. Classification of postsingularly finite exponential maps 4 3. Iteration in Teichmüler space 6 3.1. The Teichmüler space of a topological exponential map 7 3.2. The Teichmüler metric and its dual 8 3.3. Examples of quadratic differentials 9 3.4. Proof of the Main Theorem 2.4 10 4. The decomposition theorem 13 4.1. The thick-thin decomposition theorem for quadratic differentials 14 4.2. Quadratic differentials on annuli 15 4.3. The component of a quadratic differential adapted to a short closed geodesic 17 4.4. The component of a quadratic differential adapted to the thick part 20 5. Limits of quadratic differentials 22 5.1. Limit models 22 5.2. Thin parts 25 5.3. Thick parts 27 6. Push-forward of quadratic differentials 30 Appendix A. Some general results on Riemann surfaces 35 A.1. Collars on hyperbolic Riemann surfaces 36 A.2. Mass per modulus is convex 37 Acknowledgements 39 References 39