On Ahlfors' weak finiteness theorem

DOI10.1215/KJM/1250521230zbMath0583.32051OpenAlexW1549429717MaRDI QIDQ1070079

Hiromi Ohtake

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1215/kjm/1250521230

zbMATH Keywords

automorphic formshyperbolic spacediscontinuous group of isometriesquasi-conformal deformationsAhlfors' weak finiteness theorem

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Discontinuous groups of transformations (57S30) Automorphic forms in several complex variables (32N10) Deformations of complex structures (32G05) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (2)

On the absence of the Ahlfors and Sullivan theorems for Kleinian groups in higher dimensions ⋮ On the absence of Ahlfors' finiteness theorem for Kleinian groups in dimension three

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