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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 books?id=yrmT56mpw3kC.
- Hyperbolic_3-manifold wikiPageExternalLink gt3m.
- Hyperbolic_3-manifold wikiPageID "1237700".
- Hyperbolic_3-manifold wikiPageRevisionID "526667358".
- Hyperbolic_3-manifold hasPhotoCollection Hyperbolic_3-manifold.
- 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 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 m.04l2_8.
- Hyperbolic_3-manifold sameAs Q5957770.
- Hyperbolic_3-manifold sameAs Q5957770.
- Hyperbolic_3-manifold wasDerivedFrom Hyperbolic_3-manifold?oldid=526667358.
- Hyperbolic_3-manifold isPrimaryTopicOf Hyperbolic_3-manifold.