On Teichmüller spaces and modular transformations

DOI10.1215/kjm/1250521010zbMath0597.32020OpenAlexW1922135145MaRDI QIDQ1078730

Hiroshige Shiga

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1215/kjm/1250521010

zbMATH Keywords

embeddingKleinian groupquasi-Fuchsian groupaccumulation points of elliptic, parabolic, pseudo-hyperbolic andBersdegenerate cusphyperbolic modular transformationsinfinite iterations of parabolic and pseudo- hyperbolic modularinfinite iterations of parabolic and pseudo- hyperbolic modular transformations of Teichmüller spaceregular b- groupstransformations of Teichmüller space

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Discontinuous groups of transformations (57S30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Automorphic functions (32N99)

Related Items (2)

Orbits and their accumulation points of cyclic subgroups of modular groups ⋮ Remarks on holomorphic families of Riemann surfaces

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