Carathéodory metric on some generalized Teichmüller spaces

DOI10.54330/afm.141665arXiv2309.09373MaRDI QIDQ6178446

Unnamed Author, Sudeb Mitra

Publication date: 18 January 2024

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.09373

zbMATH Keywords

Teichmüller spacesCarathéodory metricKobayashi metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Cites Work

• Extensions of holomorphic motions and holomorphic families of Möbius groups
• Extensions of holomorphic motions
• On analytic and geometric properties of Teichmüller spaces
• The Caratheodory metric on abelian Teichmüller disks
• Teichmüller spaces and holomorphic motions
• Carathéodory's metrics on Teichmüller spaces and \(L\)-shaped pillowcases
• Teichmüller spaces and tame quasiconformal motions
• On the Carathéodory metric of universal Teichmüller space
• On invariant distances on asymptotic Teichmüller spaces
• Hyperbolicity in complex analysis
• Holomorphic Motions and Teichmuller Spaces
• Variation of moduli under continuous motions
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