Comparing hyperbolic distance with Kra's distance on the unit disk

zbMath1267.30062MaRDI QIDQ436048

Guowu Yao

Publication date: 28 July 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1340197930

zbMATH Keywords

hyperbolic distancequasiconformal mappingcomplete elliptic integralKra's distance

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
• Invariant metrics in infinite-dimensional teichmüller space
• On the distortion theorem for quasiconformal mappings with fixed boundary values