On the local connectivity of limit sets of kleinian groups
- 1 October 1996
- journal article
- Published by Taylor & Francis in Complex Variables and Elliptic Equations
- Vol. 31 (2) , 177-183
Abstract
AMS no. 30F40 The main result here is the fact that the limit set of a geometrically finite Kleinian group with connected limit set is locally connected. For an analytically finite Kleinian group with connected limit set, we give necessary and sucient conditions for the limit set to be locally connected.Keywords
This publication has 8 references indexed in Scilit:
- On rigidity, limit sets, and end invariants of hyperbolic 3-manifoldsJournal of the American Mathematical Society, 1994
- Geometrical Finiteness for Hyperbolic GroupsJournal of Functional Analysis, 1993
- Kleinian groups—geometrically finite and geometrically perverse1988
- Group completions and limit sets of Kleinian groupsInventiones Mathematicae, 1980
- Geometric Decompositions of Kleinian GroupsAmerican Journal of Mathematics, 1977
- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS1974
- Finitely Generated Kleinian GroupsAmerican Journal of Mathematics, 1964
- Analytic Topology1942