Lifts of extremal quasiconformal mappings of arbitrary Riemann surfaces

DOI10.1215/kjm/1250521809zbMath0497.30017OpenAlexW1495620210MaRDI QIDQ1170655

Hiromi Ohtake

Publication date: 1982

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521809

zbMATH Keywords

Teichmueller spaceFuchsian groupfundamental regionPoincare seriesBeltrami differential of Teichmueller type

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Riemann surfaces (30F99)

Related Items

Some remarks on Teichmüller spaces and modular groups, Amenability, Poincaré series and quasiconformal maps, Riemann surfaces and the geometrization of 3-manifolds, On extremal quasiconformal mappings compatible with a Fuchsian group, Conjugacies between rational maps and extremal quasiconformal maps, Extremal quasiconformal mappings compatible with Fuchsian groups, HAMILTON SEQUENCES FOR EXTREMAL QUASICONFORMAL MAPPINGS OF DOUBLY-CONNECTED DOMAINS, Grunsky's inequality and its applications to Teichmüller spaces