Properties of metrics on Teichmüller spaces of surfaces of infinite type

Properties of metrics on Teichmüller spaces of surfaces of infinite type

We give some conditions for the strictly inclusion from quasiconformal Teichmüller space to length-spectra Teichmüller space of infinite type surface. We obtain this result by comparing the Teichmüller metric and the length-spectra metric on Teichmüller spaces of infinite type surface.

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Veröffentlicht in:Journal of mathematical analysis and applications 2023-03, Vol.519 (2), p.126749, Article 126749
1. Verfasser: Liu, Peijia
Format: Artikel
Sprache:eng
Schlagworte:
Length-spectra metric
Riemann surface
Teichmüller metric
Teichmüller space
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Zusammenfassung:We give some conditions for the strictly inclusion from quasiconformal Teichmüller space to length-spectra Teichmüller space of infinite type surface. We obtain this result by comparing the Teichmüller metric and the length-spectra metric on Teichmüller spaces of infinite type surface.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126749