Kleinian groups with intersecting limit sets

DOI10.1007/BF02820470zbMath0677.30028MaRDI QIDQ1123288

Perry Susskind

Publication date: 1989

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

geometrically finite

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

Intersections of topologically tame subgroups of Kleinian groups, Cusps in complex boundaries of one-dimensional Teichmüller space, The action of groups on hyperbolic spaces, Infinite index subgroups and finiteness properties of intersections of geometrically finite groups, A limit set intersection theorem for graphs of relatively hyperbolic groups, Intersecting limit sets of Kleinian subgroups and Susskind’s question, A combination theorem for convex hyperbolic manifolds, with applications to surfaces in 3-manifolds, The classification of Kleinian surface groups. II: The Ending lamination conjecture, An infinitely generated intersection of geometrically finite hyperbolic groups, Closed quasi-Fuchsian surfaces in hyperbolic knot complements, Limit set intersection theorems for Kleinian groups and a conjecture of Susskind, Intersections of Analytically and Geometrically Finite Subgroups of Kleinian Groups

Cites Work

• Compact 3-manifolds of constant negative curvature fibering over the circle
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• The geometry of finitely generated Kleinian groups
• On Discrete Groups of Mobius Transformations
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