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Is there always a unique extremal Teichmüller mapping?


Author: Kurt Strebel
Journal: Proc. Amer. Math. Soc. 90 (1984), 240-242
MSC: Primary 30C75; Secondary 30C60
DOI: https://doi.org/10.1090/S0002-9939-1984-0727241-9
MathSciNet review: 727241
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Abstract: A boundary correspondence of the circumference of the unit disk, which can be continued quasiconformally to the disk and which has the following property, is constructed: If there exists a Teichmüller mapping which is associated to a holomorphic quadratic differential and which is extremal for the boundary correspondence, then there is more than one such mapping.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0727241-9
Article copyright: © Copyright 1984 American Mathematical Society

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