An estimate of the maximal dilatations of quasiconformal automorphisms of annuli

DOI10.1080/17476933.2011.603417zbMath1285.30006OpenAlexW2025281735MaRDI QIDQ2851211

Katsuhiko Matsuzaki

Publication date: 10 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.603417

zbMATH Keywords

hyperbolic metricextremal lengthquasiconformal mapmaximal dilatation

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• On Teichmüller's theorem on the quasi-invariance of cross ratios
• Moduli of families of curves for conformal and quasiconformal mappings
• The infinite direct product of Dehn twists acting on infinite dimensional Teichmüller spaces
• Quasiconformal mapping class groups having common fixed points on the asymptotic Teichmüller spaces
• Some inequalities for the Poincaré metric of plane domains
• Sufficient and necessary conditions for conformality at a point. Part I. Geometric viewpoint
• The Poincaré Metric on the Twice Punctured Plane and the Theorems of Landau and Schottky
• On Explicit Bounds in Landau's Theorem. II

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