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- Ahlfors_measure_conjecture abstract "In mathematics, the Ahlfors conjecture, now a theorem, states that the limit set of a finitely-generated Kleinian group is either the whole Riemann sphere, or has measure 0. The conjecture was introduced by Ahlfors (1966), who proved it in the case that the Kleinian group has a fundamental domain with a finite number of sides. Canary (1993) proved the Ahlfors conjecture for topologically tame groups, by showing that a topologically tame Kleinian group is geometrically tame, so the Ahlfors conjecture follows from Marden's tameness conjecture that hyperbolic 3-manifolds with finitely generated fundamental groups are topologically tame (homeomorphic to the interior of compact 3-manifolds). This latter conjecture was proved, independently, by Agol (2004) and by Calegari & Gabai (2006).Canary (1993) also showed that in the case when the limit set is the whole sphere, the action of the Kleinian group on the limit set is ergodic.".
- Ahlfors_measure_conjecture wikiPageID "31197103".
- Ahlfors_measure_conjecture wikiPageLength "2215".
- Ahlfors_measure_conjecture wikiPageOutDegree "12".
- Ahlfors_measure_conjecture wikiPageRevisionID "636734135".
- Ahlfors_measure_conjecture wikiPageWikiLink Category:Kleinian_groups.
- Ahlfors_measure_conjecture wikiPageWikiLink Category:Theorems_in_analysis.
- Ahlfors_measure_conjecture wikiPageWikiLink Fundamental_domain.
- Ahlfors_measure_conjecture wikiPageWikiLink Hyperbolic_3-manifold.
- Ahlfors_measure_conjecture wikiPageWikiLink Journal_of_the_American_Mathematical_Society.
- Ahlfors_measure_conjecture wikiPageWikiLink Kleinian_group.
- Ahlfors_measure_conjecture wikiPageWikiLink Limit_set.
- Ahlfors_measure_conjecture wikiPageWikiLink Mathematics.
- Ahlfors_measure_conjecture wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Ahlfors_measure_conjecture wikiPageWikiLink Riemann_sphere.
- Ahlfors_measure_conjecture wikiPageWikiLink Tameness_theorem.
- Ahlfors_measure_conjecture wikiPageWikiLinkText "Ahlfors Measure Conjecture".
- Ahlfors_measure_conjecture wikiPageWikiLinkText "Ahlfors measure conjecture".
- Ahlfors_measure_conjecture wikiPageUsesTemplate Template:Citation.
- Ahlfors_measure_conjecture wikiPageUsesTemplate Template:Harvs.
- Ahlfors_measure_conjecture wikiPageUsesTemplate Template:Harvtxt.
- Ahlfors_measure_conjecture subject Category:Kleinian_groups.
- Ahlfors_measure_conjecture subject Category:Theorems_in_analysis.
- Ahlfors_measure_conjecture type Group.
- Ahlfors_measure_conjecture type Group.
- Ahlfors_measure_conjecture type Surface.
- Ahlfors_measure_conjecture comment "In mathematics, the Ahlfors conjecture, now a theorem, states that the limit set of a finitely-generated Kleinian group is either the whole Riemann sphere, or has measure 0. The conjecture was introduced by Ahlfors (1966), who proved it in the case that the Kleinian group has a fundamental domain with a finite number of sides.".
- Ahlfors_measure_conjecture label "Ahlfors measure conjecture".
- Ahlfors_measure_conjecture sameAs Q4695182.
- Ahlfors_measure_conjecture sameAs m.0gjc2yh.
- Ahlfors_measure_conjecture sameAs Q4695182.
- Ahlfors_measure_conjecture wasDerivedFrom Ahlfors_measure_conjecture?oldid=636734135.
- Ahlfors_measure_conjecture isPrimaryTopicOf Ahlfors_measure_conjecture.