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On the straightness of reduced Teichmüller space


Author: Judith C. Wason
Journal: Proc. Amer. Math. Soc. 56 (1976), 193-198
MSC: Primary 32G15; Secondary 30A52
DOI: https://doi.org/10.1090/S0002-9939-1976-0417457-9
MathSciNet review: 0417457
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Abstract: Under a natural injection which is shown to be an isometry, the image of the reduced Teichmüller space ${T^\# }(G)$ in the open straight Teichmüller space of the Fuchsian model of $G,T(H)$, is an open straight subspace.


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Keywords: Teichmüller space, reduced Teichmüller space, straightness, Beltrami differential, quadratic differential, Teichmüller mapping
Article copyright: © Copyright 1976 American Mathematical Society