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An Introduction to Teichmüller Spaces / by Yoichi Imayoshi, Masahiko Taniguchi
版 | 1st ed. 1992. |
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出版者 | (Tokyo : Springer Japan : Imprint: Springer) |
出版年 | 1992 |
大きさ | XIII, 279 p : online resource |
著者標目 | *Imayoshi, Yoichi author Taniguchi, Masahiko author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Algebraic geometry LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Analysis FREE:Algebraic Geometry FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-4-431-68174-8 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9784431681748 |
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EB00208474 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000110936 |
ISBN | 9784431681748 |
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