Carathéodory metric on some generalized Teichmüller spaces

Authors

  • Xinlong Dong City University of New York, Kingsborough Community College, Department of Mathematics and Computer Science
  • Sudeb Mitra Queens College of the City University of New York, Department of Mathematics, and Graduate Center of the City University of New York, Department of Mathematics
DOI: https://doi.org/10.54330/afm.141665

Keywords:

Teichmüller spaces, Carathéodory metric, Kobayashi metric

Abstract

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.
Issue
Vol. 48 No. 2 (2023)
Section
Articles

Published

2023-12-01

How to Cite

Dong, X., & Mitra, S. (2023). Carathéodory metric on some generalized Teichmüller spaces. Annales Fennici Mathematici, 48(2), 797–807. https://doi.org/10.54330/afm.141665

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