Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
The isometric embedding of the augmented Teichmüller space of a Riemann surface into the augmented Teichmüller space of its covering surface
Guangming HuYi Qi
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2019 年 42 巻 2 号 p. 376-392

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It is known that every finitely unbranched holomorphic covering π : S of a compact Riemann surface S with genus g ≥ 2 induces an isometric embedding Φπ : Teich(S) → Teich(). By the mutual relations between Strebel rays in Teich(S) and their embeddings in Teich(), we show that the augmented Teichmüller space can be isometrically embedded in the augmented Teichmüller space .

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© 2019 Department of Mathematics, Tokyo Institute of Technology
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