Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorImayoshi, Yoichi. author
TitleAn Introduction to Teichmรผller Spaces [electronic resource] / by Yoichi Imayoshi, Masahiko Taniguchi
ImprintTokyo : Springer Japan, 1992
Connect tohttp://dx.doi.org/10.1007/978-4-431-68174-8
Descript XIII, 279 p. online resource

CONTENT

1 Teichmรผller Space of Genus g -- 1.1 Riemann Surfaces -- 1.2 Teichmรผller Space of Genus 1 -- 1.3 Teichmรผller Space of Genus g -- 1.4 Quasiconformal Mappings and Teichmรผller Space -- 1.5 Complex Structures and Conformal Structures -- Notes -- 2 Frike Space -- 2.1 Uniformization Theorem -- 2.2 Universal Coverings -- 2.3 Mรถbius Transformations -- 2.4 Fuchsian Models -- 2.5 Fricke Space -- Notes -- 3 Hyperbolic Geometry and Fenchel-Nielsen Coordinates -- 3.1 Poincarรฉ Metric and Hyperbolic Geometry -- 3.2 Fenchel-Nielsen Coordinates -- 3.3 Fricke-Klein Embedding -- 3.4 Thurstonโ{128}{153}s Compactification -- Notes -- 4 Quasiconformal Mappings -- 4.1 Definitions and Elementary Properties -- 4.2 Existence Theorems on Quasiconformal Mappings -- 4.3 Dependence on Beltrami Coefficients -- 4.4 Proof of Calderรณn-Zygmund Theorem -- Notes -- 5 Teichmรผller Spaces -- 5.1 Analytic Construction of Teichmรผller Spaces -- 5.2 Teichmรผller Mappings and Teichmรผllerโ{128}{153}s Theorerms -- 5.3 Proof of Teichmรผllerโ{128}{153}s Uniqueness Theorem -- Notes -- 6 Complex Analytic Theory of Teichmรผller Spaces -- 6.1 Bersโ{128}{153} Embedding -- 6.2 Invariance of Complex Structure of Teichmรผller Space -- 6.3 Teichmรผller Modular Groups -- 6.4 Roydenโ{128}{153}s Theorems -- 6.5 Classification of Teichmรผller Modular Transformations -- Notes -- 7 Weil-Petersson Metric -- 7.1 Petersson Scalar Product and Bergman Projection -- 7.2 Infinitesimal Theory of Teichmรผller Spaces -- 7.3 Weil-Petersson Metric -- Notes -- 8 Fenchel-Nielsen Deformations and Weil-Petersson Metric -- 8.1 Fenchel-Nielsen Deformations -- 8.2 A Variational Formula for Geodesic Length Functions -- 8.3 Wolpertโ{128}{153}s Formula -- Notes -- Appendices -- A Classical Variations on Riemann Surfaces -- Notes -- B Compactification of the Moduli Space -- Notes -- References -- List of Symbols


Mathematics Algebraic geometry Mathematical analysis Analysis (Mathematics) Differential geometry Physics Mathematics Analysis Algebraic Geometry Differential Geometry Theoretical Mathematical and Computational Physics



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram