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Koebe Problems and Teichmüller Theory
Authors:Jin Song Liu
Affiliation:(1) Institute of Mathematics, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China
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. This work is supported by Post–Doctoral Foundation of China
Keywords:Koebe problem  Teichmüller space  Circle
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