Complex Analytic Theory of Teichmüller Spaces

Yoichi Imayoshi and Masahiko Taniguchi
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Yoichi Imayoshi: Osaka University, Department of Mathematics, College of General Education
Masahiko Taniguchi: Kyoto University, Department of Mathematics, Faculty of Science

Chapter Chapter 6 in An Introduction to Teichmüller Spaces, 1992, pp 146-181 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68174-8_6

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DOI: 10.1007/978-4-431-68174-8_6

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