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June 2019 The isometric embedding of the augmented Teichmüller space of a Riemann surface into the augmented Teichmüller space of its covering surface
Guangming Hu, Yi Qi
Kodai Math. J. 42(2): 376-392 (June 2019). DOI: 10.2996/kmj/1562032835

Abstract

It is known that every finitely unbranched holomorphic covering $\pi:\widetilde{S}\rightarrow S$ of a compact Riemann surface $S$ with genus $g\geq2$ induces an isometric embedding $\Phi_{\pi} :Teich(S)\rightarrow Teich(\widetilde{S})$. By the mutual relations between Strebel rays in $Teich(S)$ and their embeddings in $Teich(\widetilde{S})$, we show that the augmented Teichmüller space $\widehat{Teich}(S)$ can be isometrically embedded in the augmented Teichmüller space $\widehat{Teich}(\widetilde{S})$.

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Guangming Hu. Yi Qi. "The isometric embedding of the augmented Teichmüller space of a Riemann surface into the augmented Teichmüller space of its covering surface." Kodai Math. J. 42 (2) 376 - 392, June 2019. https://doi.org/10.2996/kmj/1562032835

Information

Published: June 2019
First available in Project Euclid: 2 July 2019

zbMATH: 07108017
MathSciNet: MR3981310
Digital Object Identifier: 10.2996/kmj/1562032835

Rights: Copyright © 2019 Tokyo Institute of Technology, Department of Mathematics

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Vol.42 • No. 2 • June 2019
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