Is there always a unique extremal Teichmüller mapping?
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- by Kurt Strebel PDF
- Proc. Amer. Math. Soc. 90 (1984), 240-242 Request permission
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.References
- Kurt Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. II, Comment. Math. Helv. 39 (1964), 77–89 (German). MR 176071, DOI 10.1007/BF02566945
- Kurt Strebel, On lifts of extremal quasiconformal mappings, J. Analyse Math. 31 (1977), 191–203. MR 585316, DOI 10.1007/BF02813303
- Lipman Bers, Quasiconformal mappings and Teichmüller’s theorem, Analytic functions, Princeton Univ. Press, Princeton, N.J., 1960, pp. 89–119. MR 0114898
- Olli Lehto, Group isomorphisms induced by quasiconformal mappings, Contributions to analysis (a collection of papers dedicated to Lipman Bers), Academic Press, New York, 1974, pp. 241–244. MR 0367193
Additional Information
- © Copyright 1984 American Mathematical Society
- 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