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Koebe Problems and Teichmüller Theory

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Abstract

In this paper we study the deformation space of certain Kleinian groups. As a result, we give a new proof of the finite Koebe theorem on Riemann surfaces from a viewpoint of Teichmüller theory.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China

    Jin Song Liu

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  1. Jin Song Liu
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Correspondence to Jin Song Liu.

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This work is supported by Post–Doctoral Foundation of China

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Liu, J.S. Koebe Problems and Teichmüller Theory. Acta Math Sinica 22, 959–962 (2006). https://doi.org/10.1007/s10114-005-0669-3

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  • DOI: https://doi.org/10.1007/s10114-005-0669-3

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