Asymptotics of the translation flow on holomorphic maps out of the poly-plane

DOI10.1090/ecgd/330zbMath1417.32002arXiv1702.02177OpenAlexW2964340937MaRDI QIDQ5742750

Dmitri Gekhtman

Publication date: 8 May 2019

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02177

zbMATH Keywords

Teichmüller spaceCarathéodory metricholomorphic functions on the polydisk

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Holomorphic functions of several complex variables (32A10)

Related Items (4)

Isometric submersions of Teichmüller spaces are forgetful ⋮ Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces ⋮ Carathéodory's metrics on Teichmüller spaces and \(L\)-shaped pillowcases ⋮ A characterization of holomorphic mappings on a poly-plane

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• On a theorem of Godefroy and Shapiro
• The Caratheodory metric on abelian Teichmüller disks
• Carathéodory's metrics on Teichmüller spaces and \(L\)-shaped pillowcases
• Minimal sets for flows on moduli space
• Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
• A Schwarz lemma on the polydisk
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