On Marden's universal constant of Fuchsian groups

DOI10.2996/kmj/1138036373zbMath0469.30038OpenAlexW1988314234MaRDI QIDQ1156903

Akira Yamada

Publication date: 1981

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036373

zbMATH Keywords

Fuchsian groupPoincare metricJorgensen's inequality

Mathematics Subject Classification ID

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

Related Items (15)

Minimal co-volume hyperbolic lattices. I: The spherical points of a Kleinian group ⋮ Generalizing the hyperbolic collar lemma ⋮ Domain Bloch Constants ⋮ On the displacement of generators of free Fuchsian groups ⋮ Prising apart geodesics by length in hyperbolic manifolds ⋮ Minimal co-volume hyperbolic lattices. II: Simple torsion in a Kleinian group ⋮ The Stable Neighborhood Theorem and Lengths of Closed Geodesics ⋮ Quasiconformal homogeneity after Gehring and Palka ⋮ Quasiconformal homogeneity of hyperbolic manifolds ⋮ Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms ⋮ On the minimal distance between elliptic fixed points for geometrically finite Fuchsian groups ⋮ Intersection of finitely generated surface groups ⋮ On Marden's universal constant of Fuchsian groups. II ⋮ Quasiconformal homogeneity and subgroups of the mapping class group ⋮ Figure eight geodesics on 2-orbifolds

Cites Work

• All two generator Fuchsian groups
• A compactness theorem for Fuchsian groups of the second kind
• Inequalities for finitely generated Kleinian groups
• Doubly generated Fuchsian groups
• Two generator discrete free products
• Maximal Fuchsian groups
• Unnamed Item

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