Certain estimates on Kleinian groups by the core of their quotient 3- manifold

DOI10.2996/kmj/1138039282zbMath0723.30038OpenAlexW1995203574MaRDI QIDQ757639

Katsuhiko Matsuzaki

Publication date: 1990

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

Full work available at URL: https://semanticscholar.org/paper/c8eb2a9b22bacd6348cebbd04ab6873620fd7793

zbMATH Keywords

limit sethyperbolic 3-manifoldsminimal set of generatorsgeometrically finitefinitely generated Kleinian groupsarea-type inequalitiescomponent subgrouphyperbolic areatorsion-free Kleinian group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Parabolic elements in Kleinian groups
• A characterization of extended Schottky type groups with a remark to Ahlfors' conjecture
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Two parabolic generator Kleinian groups
• A finiteness theorem for cusps
• On Ahlfors' finiteness theorem
• The geometry of finitely generated Kleinian groups
• Homology and central series of groups
• Inequalities for finitely generated Kleinian groups
• On boundaries of Teichmüller spaces and on Kleinian groups. II
• The Euler Characteristic and Inequalities for Kleinian Groups
• COMPACT SUBMANIFOLDS OF 3-MANIFOLDS WITH BOUNDARY

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