Carathéodory metric on some generalized Teichmüller spaces

Carathéodory metric on some generalized Teichmüller spaces

We study the Carathéodory metric on some generalized Teichmüller spaces. Our paper is especially inspired by the papers by Earle (1974) and Miyachi (2006). Earle (1974) showed that the Carathéodory metric is complete on any Teichmüller space. Miyachi (2006) extended this result for asymptotic Teichm...

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Veröffentlicht in:Annales Fennici Mathematici 2023-01, Vol.48 (2), p.797-807
Hauptverfasser: Dong, Xinlong, Mitra, Sudeb
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the Carathéodory metric on some generalized Teichmüller spaces. Our paper is especially inspired by the papers by Earle (1974) and Miyachi (2006). Earle (1974) showed that the Carathéodory metric is complete on any Teichmüller space. Miyachi (2006) extended this result for asymptotic Teichmüller spaces. We study the completeness of the Carathéodory metric on product Teichmüller spaces and on the Teichmüller space of a closed set in the Riemann sphere.
ISSN:2737-0690
2737-114X
DOI:10.54330/afm.141665