An Introduction to Teichmüller Spaces [electronic resource] /

1 Teichmüller Space of Genus g -- 1.1 Riemann Surfaces -- 1.2 Teichmüller Space of Genus 1 -- 1.3 Teichmüller Space of Genus g -- 1.4 Quasiconformal Mappings and Teichmüller Space -- 1.5 Complex Structures and Conformal Structures -- Notes -- 2 Frike Space -- 2.1 Uniformization Theorem -- 2.2 Universal Coverings -- 2.3 Möbius Transformations -- 2.4 Fuchsian Models -- 2.5 Fricke Space -- Notes -- 3 Hyperbolic Geometry and Fenchel-Nielsen Coordinates -- 3.1 Poincaré Metric and Hyperbolic Geometry -- 3.2 Fenchel-Nielsen Coordinates -- 3.3 Fricke-Klein Embedding -- 3.4 Thurston’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 Calderón-Zygmund Theorem -- Notes -- 5 Teichmüller Spaces -- 5.1 Analytic Construction of Teichmüller Spaces -- 5.2 Teichmüller Mappings and Teichmüller’s Theorerms -- 5.3 Proof of Teichmüller’s Uniqueness Theorem -- Notes -- 6 Complex Analytic Theory of Teichmüller Spaces -- 6.1 Bers’ Embedding -- 6.2 Invariance of Complex Structure of Teichmüller Space -- 6.3 Teichmüller Modular Groups -- 6.4 Royden’s Theorems -- 6.5 Classification of Teichmüller Modular Transformations -- Notes -- 7 Weil-Petersson Metric -- 7.1 Petersson Scalar Product and Bergman Projection -- 7.2 Infinitesimal Theory of Teichmüller 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 Wolpert’s Formula -- Notes -- Appendices -- A Classical Variations on Riemann Surfaces -- Notes -- B Compactification of the Moduli Space -- Notes -- References -- List of Symbols.

Bibliographic Details

Main Authors:	Imayoshi, Yoichi. author., Taniguchi, Masahiko. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Tokyo : Springer Japan, 1992
Subjects:	Mathematics., Algebraic geometry., Mathematical analysis., Analysis (Mathematics)., Differential geometry., Physics., Analysis., Algebraic Geometry., Differential Geometry., Theoretical, Mathematical and Computational Physics.,
Online Access:	http://dx.doi.org/10.1007/978-4-431-68174-8
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