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- Ending_lamination_theorem abstract "In hyperbolic geometry, the ending lamination theorem, originally conjectured by William Thurston (1982), states that hyperbolic 3-manifolds with finitely generated fundamental groups are determined by their topology together with certain "end invariants", which are geodesic laminations on some surfaces in the boundary of the manifold.The ending lamination theorem is a generalization of the Mostow rigidity theorem to hyperbolic manifolds of infinite volume. When the manifold is compact or of finite volume, the Mostow rigidity theorem states that the fundamental group determines the manifold. When the volume is infinite the fundamental group is not enough to determine the manifold: one also needs to know the hyperbolic structure on the surfaces at the "ends" of the manifold, and also the ending laminations on these surfaces.Minsky (preprint 2003, published 2010) and Brock, Canary & Minsky (preprint 2004, published 2012) proved the ending lamination conjecture for Kleinian surface groups. In view of the Tameness theorem this implies the ending lamination conjecture for all finitely generated Kleinian groups.".
- Ending_lamination_theorem wikiPageExternalLink gt3m.
- Ending_lamination_theorem wikiPageExternalLink research.
- Ending_lamination_theorem wikiPageExternalLink 176-1.
- Ending_lamination_theorem wikiPageExternalLink books?id=w0IYCTiXOm4C.
- Ending_lamination_theorem wikiPageID "30997240".
- Ending_lamination_theorem wikiPageLength "4397".
- Ending_lamination_theorem wikiPageOutDegree "15".
- Ending_lamination_theorem wikiPageRevisionID "666838133".
- Ending_lamination_theorem wikiPageWikiLink Annals_of_Mathematics.
- Ending_lamination_theorem wikiPageWikiLink Cambridge_University_Press.
- Ending_lamination_theorem wikiPageWikiLink Category:3-manifolds.
- Ending_lamination_theorem wikiPageWikiLink Category:Hyperbolic_geometry.
- Ending_lamination_theorem wikiPageWikiLink Category:Kleinian_groups.
- Ending_lamination_theorem wikiPageWikiLink Finitely-generated_group.
- Ending_lamination_theorem wikiPageWikiLink Fundamental_group.
- Ending_lamination_theorem wikiPageWikiLink Generating_set_of_a_group.
- Ending_lamination_theorem wikiPageWikiLink Hyperbolic_3-manifold.
- Ending_lamination_theorem wikiPageWikiLink Hyperbolic_geometry.
- Ending_lamination_theorem wikiPageWikiLink Kleinian_group.
- Ending_lamination_theorem wikiPageWikiLink Lamination_(topology).
- Ending_lamination_theorem wikiPageWikiLink Mostow_rigidity_theorem.
- Ending_lamination_theorem wikiPageWikiLink Seifert–van_Kampen_theorem.
- Ending_lamination_theorem wikiPageWikiLink Surface_group.
- Ending_lamination_theorem wikiPageWikiLink Tameness_theorem.
- Ending_lamination_theorem wikiPageWikiLinkText "Ending Laminations Conjecture".
- Ending_lamination_theorem wikiPageWikiLinkText "Ending lamination theorem".
- Ending_lamination_theorem wikiPageWikiLinkText "ending lamination theorem".
- Ending_lamination_theorem authorlink "William Thurston".
- Ending_lamination_theorem first "William".
- Ending_lamination_theorem hasPhotoCollection Ending_lamination_theorem.
- Ending_lamination_theorem last "Thurston".
- Ending_lamination_theorem wikiPageUsesTemplate Template:Citation.
- Ending_lamination_theorem wikiPageUsesTemplate Template:Harvs.
- Ending_lamination_theorem wikiPageUsesTemplate Template:Harvtxt.
- Ending_lamination_theorem year "1982".
- Ending_lamination_theorem subject Category:3-manifolds.
- Ending_lamination_theorem subject Category:Hyperbolic_geometry.
- Ending_lamination_theorem subject Category:Kleinian_groups.
- Ending_lamination_theorem hypernym Laminations.
- Ending_lamination_theorem type Group.
- Ending_lamination_theorem type Group.
- Ending_lamination_theorem type Surface.
- Ending_lamination_theorem comment "In hyperbolic geometry, the ending lamination theorem, originally conjectured by William Thurston (1982), states that hyperbolic 3-manifolds with finitely generated fundamental groups are determined by their topology together with certain "end invariants", which are geodesic laminations on some surfaces in the boundary of the manifold.The ending lamination theorem is a generalization of the Mostow rigidity theorem to hyperbolic manifolds of infinite volume.".
- Ending_lamination_theorem label "Ending lamination theorem".
- Ending_lamination_theorem sameAs m.0gg4lf7.
- Ending_lamination_theorem sameAs Q5376147.
- Ending_lamination_theorem sameAs Q5376147.
- Ending_lamination_theorem wasDerivedFrom Ending_lamination_theorem?oldid=666838133.
- Ending_lamination_theorem isPrimaryTopicOf Ending_lamination_theorem.