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• Hyperbolic_3-manifold abstract "A hyperbolic 3-manifold is a 3-manifold equipped with a complete Riemannian metric of constant sectional curvature -1. In other words, it is the quotient of three-dimensional hyperbolic space by a subgroup of hyperbolic isometries acting freely and properly discontinuously. See also Kleinian model.Its thick-thin decomposition has a thin part consisting of tubular neighborhoods of closed geodesics and/or ends which are the product of a Euclidean surface and the closed half-ray. The manifold is of finite volume if and only if its thick part is compact. In this case, the ends are of the form torus cross the closed half-ray and are called cusps.".
• Hyperbolic_3-manifold wikiPageExternalLink gt3m.
• Hyperbolic_3-manifold wikiPageExternalLink books?id=yrmT56mpw3kC.
• Hyperbolic_3-manifold wikiPageID "1237700".
• Hyperbolic_3-manifold wikiPageLength "4018".
• Hyperbolic_3-manifold wikiPageOutDegree "48".
• Hyperbolic_3-manifold wikiPageRevisionID "674571257".
• Hyperbolic_3-manifold wikiPageWikiLink 3-manifold.
• Hyperbolic_3-manifold wikiPageWikiLink 3-sphere.
• Hyperbolic_3-manifold wikiPageWikiLink Arithmetic_hyperbolic_3-manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Atoroidal.
• Hyperbolic_3-manifold wikiPageWikiLink Borromean_rings.
• Hyperbolic_3-manifold wikiPageWikiLink Category:3-manifolds.
• Hyperbolic_3-manifold wikiPageWikiLink Category:Geometric_topology.
• Hyperbolic_3-manifold wikiPageWikiLink Category:Hyperbolic_geometry.
• Hyperbolic_3-manifold wikiPageWikiLink Category:Kleinian_groups.
• Hyperbolic_3-manifold wikiPageWikiLink Category:Riemannian_manifolds.
• Hyperbolic_3-manifold wikiPageWikiLink Complete_metric_space.
• Hyperbolic_3-manifold wikiPageWikiLink Cusp_(singularity).
• Hyperbolic_3-manifold wikiPageWikiLink Dodecahedron.
• Hyperbolic_3-manifold wikiPageWikiLink Figure-eight_knot_(mathematics).
• Hyperbolic_3-manifold wikiPageWikiLink Fundamental_group.
• Hyperbolic_3-manifold wikiPageWikiLink Geometrization_conjecture.
• Hyperbolic_3-manifold wikiPageWikiLink Gieseking_manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Graduate_Texts_in_Mathematics.
• Hyperbolic_3-manifold wikiPageWikiLink Group_action.
• Hyperbolic_3-manifold wikiPageWikiLink Haken_manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Hyperbolic_Dehn_surgery.
• Hyperbolic_3-manifold wikiPageWikiLink Hyperbolic_manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Hyperbolic_space.
• Hyperbolic_3-manifold wikiPageWikiLink Hyperbolic_volume.
• Hyperbolic_3-manifold wikiPageWikiLink Hyperbolization_theorem.
• Hyperbolic_3-manifold wikiPageWikiLink Irreducibility_(mathematics).
• Hyperbolic_3-manifold wikiPageWikiLink Kleinian_group.
• Hyperbolic_3-manifold wikiPageWikiLink Kleinian_model.
• Hyperbolic_3-manifold wikiPageWikiLink Knot_(mathematics).
• Hyperbolic_3-manifold wikiPageWikiLink Monodromy.
• Hyperbolic_3-manifold wikiPageWikiLink Mostow_rigidity_theorem.
• Hyperbolic_3-manifold wikiPageWikiLink Pseudo-Anosov_map.
• Hyperbolic_3-manifold wikiPageWikiLink Riemannian_manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Satellite_knot.
• Hyperbolic_3-manifold wikiPageWikiLink Sectional_curvature.
• Hyperbolic_3-manifold wikiPageWikiLink Seifert–Weber_space.
• Hyperbolic_3-manifold wikiPageWikiLink Springer_Science+Business_Media.
• Hyperbolic_3-manifold wikiPageWikiLink Surface_bundle_over_the_circle.
• Hyperbolic_3-manifold wikiPageWikiLink Tetrahedron.
• Hyperbolic_3-manifold wikiPageWikiLink The_geometry_and_topology_of_three-manifolds.
• Hyperbolic_3-manifold wikiPageWikiLink Torus_knot.
• Hyperbolic_3-manifold wikiPageWikiLink Weeks_manifold.
• Hyperbolic_3-manifold wikiPageWikiLink Whitehead_link.
• Hyperbolic_3-manifold wikiPageWikiLink William_Thurston.
• Hyperbolic_3-manifold wikiPageWikiLinkText "Hyperbolic 3-Manifolds".
• Hyperbolic_3-manifold wikiPageWikiLinkText "Hyperbolic 3-manifold".
• Hyperbolic_3-manifold wikiPageWikiLinkText "cusped hyperbolic".
• Hyperbolic_3-manifold wikiPageWikiLinkText "hyperbolic 3-manifold".
• Hyperbolic_3-manifold wikiPageWikiLinkText "hyperbolic structures".
• Hyperbolic_3-manifold wikiPageWikiLinkText "hyperbolic".
• Hyperbolic_3-manifold wikiPageUsesTemplate Template:Citation.
• Hyperbolic_3-manifold subject Category:3-manifolds.
• Hyperbolic_3-manifold subject Category:Geometric_topology.
• Hyperbolic_3-manifold subject Category:Hyperbolic_geometry.
• Hyperbolic_3-manifold subject Category:Kleinian_groups.
• Hyperbolic_3-manifold subject Category:Riemannian_manifolds.
• Hyperbolic_3-manifold hypernym Manifold.
• Hyperbolic_3-manifold type Group.
• Hyperbolic_3-manifold type Group.
• Hyperbolic_3-manifold type Surface.
• Hyperbolic_3-manifold comment "A hyperbolic 3-manifold is a 3-manifold equipped with a complete Riemannian metric of constant sectional curvature -1. In other words, it is the quotient of three-dimensional hyperbolic space by a subgroup of hyperbolic isometries acting freely and properly discontinuously. See also Kleinian model.Its thick-thin decomposition has a thin part consisting of tubular neighborhoods of closed geodesics and/or ends which are the product of a Euclidean surface and the closed half-ray.".
• Hyperbolic_3-manifold label "Hyperbolic 3-manifold".
• Hyperbolic_3-manifold sameAs Q5957770.
• Hyperbolic_3-manifold sameAs 双曲3次元多様体.
• Hyperbolic_3-manifold sameAs m.04l2_8.
• Hyperbolic_3-manifold sameAs Q5957770.
• Hyperbolic_3-manifold wasDerivedFrom Hyperbolic_3-manifold?oldid=674571257.
• Hyperbolic_3-manifold isPrimaryTopicOf Hyperbolic_3-manifold.