Titlebook: An Introduction to Teichmüller Spaces; Yoichi Imayoshi,Masahiko Taniguchi Textbook 1992 Springer-Verlag Tokyo 1992 Dimension.Grad.Riemann

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Uwe Brandenburg,Jörg-Peter DomschkeWe introduce a natural complex manifold structure of the Teichmüller space . of a closed Riemann surface . of genus . (≧ 2), which is realized as a bounded domain in C.. Furthermore, we prove that the Teichmüller modular group . acts properly discontinuously as a group of biholomorphic automorphisms of ..

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Weil-Petersson Metric,Unless otherwise stated, a Fuchsian group ., considered in this chapter, is a Fuchsian model of a closed Riemann surface of genus . (≧ 2). We also assume that each of 0, 1, and ∞ is fixed by an element in . — {.}.

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