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On the Teichmüller theorem and the heights theorem for quadratic differentials
Authors:Shengjian Wu
Institution:School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China
Abstract:By using the Marden-Strebel heights theorem for quadratic differentials, we provide a concrete method for finding the Teichmüller differential associated with the Teichmüller mapping between compact or finitely punctured Riemann surfaces.

Keywords:Quasiconformal mapping  Teichm\"{u}ller differential  Hamilton sequence  quadratic differentials
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