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Complex Analytic Theory of Teichmüller Spaces

  • Yoichi Imayoshi
  • Masahiko Taniguchi

Abstract

We introduce a natural complex manifold structure of the Teichmüller space T(R) of a closed Riemann surface R of genus g (≧ 2), which is realized as a bounded domain in C3g-3. Furthermore, we prove that the Teichmüller modular group Mod(R) acts properly discontinuously as a group of biholomorphic automorphisms of T(R).

Keywords

Riemann Surface Complex Manifold Quasiconformal Mapping Schwarzian Derivative Quasi Conformal Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Tokyo 1992

Authors and Affiliations

  • Yoichi Imayoshi
    • 1
  • Masahiko Taniguchi
    • 2
  1. 1.Department of Mathematics, College of General EducationOsaka UniversityToyonaka, Osaka 560Japan
  2. 2.Department of Mathematics, Faculty of ScienceKyoto UniversitySakyo-ku, Kyoto 606Japan

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