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Teichmüller contraction in the Teichmüller space of a closed set in the sphere

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Abstract

We generalize the principle of Teichmüller contraction and deduce the Hamilton-Krushkaĺ condition for extremal quasiconformal mappings in the Teichmüller space of a closed set in the Riemann sphere.

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Authors and Affiliations

  1. Department of Mathematics, University of Connecticut, 06269, Storrs, CT, USA

    Sudeb Mitra

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  1. Sudeb Mitra
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Correspondence to Sudeb Mitra.

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Mitra, S. Teichmüller contraction in the Teichmüller space of a closed set in the sphere. Isr. J. Math. 125, 45–51 (2001). https://doi.org/10.1007/BF02773373

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  • DOI: https://doi.org/10.1007/BF02773373

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