Iteration theory and inequalities for Kleinian groups

DOI10.1090/S0273-0979-1989-15761-3zbMath0689.30036OpenAlexW1964888005MaRDI QIDQ3031239

Frederick W. Gehring, Gaven J. Martin

Publication date: 1989

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15761-3

zbMATH Keywords

Kleinian groupJørgensen's inequalityiteration theory

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (13)

Commutators, collars and the geometry of Möbius groups ⋮ Cusps in complex boundaries of one-dimensional Teichmüller space ⋮ Kleinian groups and iteration of quadratic maps ⋮ Gehring-Martin-Tan numbers and Tan numbers of elementary subgroups of \(\operatorname{PSL}(2,\mathbb{C})\) ⋮ On discrete Möbius groups in all dimensions: A generalization of Jørgensen's inequality ⋮ Some Connections of Complex Dynamics ⋮ On Jørgensen numbers and their analogs for groups of figure-eight orbifolds ⋮ KLEINIAN GROUPS WITH REAL PARAMETERS ⋮ Groups and dynamical systems. Discrete time dynamics on the E(2) group ⋮ Kleinian Groups and Holomorphic Dynamics ⋮ Fred Gehring's mathematics ⋮ Analytic families of homomorphisms into \(\mathrm{PSL}(2,\mathbb{C})\) ⋮ Projections in moduli spaces of the Kleinian groups

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• On Two-Generator Discrete Groups of Mobius Transformations
• Some Special 2-Generator Kleinian Groups
• On Discrete Groups of Mobius Transformations
• Some extreme discrete groups
• Comments On a Discreteness Condition for Subgroups of SL(2, C)

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