Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Hyperbolic_space> ?p ?o }
- Hyperbolic_space abstract "In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.It is hyperbolic geometry in more than 2 dimensions, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and elliptic geometry that have a constant positive curvature.When embedded to a Euclidean space (of a higher dimension), every point of a hyperbolic space is a saddle point. Another distinctive property is the amount of space covered by the n-ball in hyperbolic n-space: it increases exponentially with respect to the radius of the ball for large radii, rather than polynomially.".
- Hyperbolic_space thumbnail Hyperbolic_orthogonal_dodecahedral_honeycomb.png?width=300.
- Hyperbolic_space wikiPageExternalLink 0903.3287.
- Hyperbolic_space wikiPageID "318742".
- Hyperbolic_space wikiPageLength "11056".
- Hyperbolic_space wikiPageOutDegree "81".
- Hyperbolic_space wikiPageRevisionID "686360579".
- Hyperbolic_space wikiPageWikiLink 0_(number).
- Hyperbolic_space wikiPageWikiLink American_Mathematical_Monthly.
- Hyperbolic_space wikiPageWikiLink Ball_(mathematics).
- Hyperbolic_space wikiPageWikiLink Bijection.
- Hyperbolic_space wikiPageWikiLink Bilinear_form.
- Hyperbolic_space wikiPageWikiLink Category:Homogeneous_spaces.
- Hyperbolic_space wikiPageWikiLink Category:Hyperbolic_geometry.
- Hyperbolic_space wikiPageWikiLink Category:Topological_spaces.
- Hyperbolic_space wikiPageWikiLink Closed_manifold.
- Hyperbolic_space wikiPageWikiLink Compact_space.
- Hyperbolic_space wikiPageWikiLink Complete_metric_space.
- Hyperbolic_space wikiPageWikiLink Conformal_map.
- Hyperbolic_space wikiPageWikiLink Connected_space.
- Hyperbolic_space wikiPageWikiLink Constant_curvature.
- Hyperbolic_space wikiPageWikiLink Constant_function.
- Hyperbolic_space wikiPageWikiLink Covering_space.
- Hyperbolic_space wikiPageWikiLink Diffeomorphism.
- Hyperbolic_space wikiPageWikiLink Dimension.
- Hyperbolic_space wikiPageWikiLink Dinis_surface.
- Hyperbolic_space wikiPageWikiLink Discrete_group.
- Hyperbolic_space wikiPageWikiLink Elliptic_geometry.
- Hyperbolic_space wikiPageWikiLink Euclidean_geometry.
- Hyperbolic_space wikiPageWikiLink Euclidean_space.
- Hyperbolic_space wikiPageWikiLink Exponential_growth.
- Hyperbolic_space wikiPageWikiLink Fuchsian_group.
- Hyperbolic_space wikiPageWikiLink Fuchsian_model.
- Hyperbolic_space wikiPageWikiLink Fundamental_group.
- Hyperbolic_space wikiPageWikiLink Geodesic.
- Hyperbolic_space wikiPageWikiLink Group_action.
- Hyperbolic_space wikiPageWikiLink Homogeneous_coordinates.
- Hyperbolic_space wikiPageWikiLink Homogeneous_space.
- Hyperbolic_space wikiPageWikiLink Homothetic_transformation.
- Hyperbolic_space wikiPageWikiLink Hyperbolic_3-manifold.
- Hyperbolic_space wikiPageWikiLink Hyperbolic_geometry.
- Hyperbolic_space wikiPageWikiLink Hyperbolic_manifold.
- Hyperbolic_space wikiPageWikiLink Ideal_(ring_theory).
- Hyperbolic_space wikiPageWikiLink Independence_(mathematical_logic).
- Hyperbolic_space wikiPageWikiLink Inversive_geometry.
- Hyperbolic_space wikiPageWikiLink Isometry.
- Hyperbolic_space wikiPageWikiLink János_Bolyai.
- Hyperbolic_space wikiPageWikiLink Kleinian_model.
- Hyperbolic_space wikiPageWikiLink Lattice_(discrete_subgroup).
- Hyperbolic_space wikiPageWikiLink Lorentz_group.
- Hyperbolic_space wikiPageWikiLink Mathematics.
- Hyperbolic_space wikiPageWikiLink Metric_space.
- Hyperbolic_space wikiPageWikiLink Minkowski_space.
- Hyperbolic_space wikiPageWikiLink Mostow_rigidity_theorem.
- Hyperbolic_space wikiPageWikiLink Murakami–Yano_formula.
- Hyperbolic_space wikiPageWikiLink Nikolai_Lobachevsky.
- Hyperbolic_space wikiPageWikiLink Open_set.
- Hyperbolic_space wikiPageWikiLink Parallel_postulate.
- Hyperbolic_space wikiPageWikiLink Poincaré_half-plane_model.
- Hyperbolic_space wikiPageWikiLink Polarization_identity.
- Hyperbolic_space wikiPageWikiLink Projective_space.
- Hyperbolic_space wikiPageWikiLink Pseudosphere.
- Hyperbolic_space wikiPageWikiLink Quadratic_form.
- Hyperbolic_space wikiPageWikiLink Quotient_space_(topology).
- Hyperbolic_space wikiPageWikiLink Riemann_surface.
- Hyperbolic_space wikiPageWikiLink Riemannian_manifold.
- Hyperbolic_space wikiPageWikiLink Saddle_point.
- Hyperbolic_space wikiPageWikiLink Sectional_curvature.
- Hyperbolic_space wikiPageWikiLink Semicircle.
- Hyperbolic_space wikiPageWikiLink Simply_connected_space.
- Hyperbolic_space wikiPageWikiLink Sphere.
- Hyperbolic_space wikiPageWikiLink Stereographic_projection.
- Hyperbolic_space wikiPageWikiLink Torsion_(algebra).
- Hyperbolic_space wikiPageWikiLink Uniformization_theorem.
- Hyperbolic_space wikiPageWikiLink Volume_form.
- Hyperbolic_space wikiPageWikiLink File:Hyperbolic_orthogonal_dodecahedral_honeycomb.png.
- Hyperbolic_space wikiPageWikiLinkText "Hyperbolic space".
- Hyperbolic_space wikiPageWikiLinkText "Hyperbolic".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic ''n''-space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic 3-space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic 4-space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic 5-space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic geometry".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic manifold".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic n-space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic plane".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic space".
- Hyperbolic_space wikiPageWikiLinkText "hyperbolic".
- Hyperbolic_space wikiPageUsesTemplate Template:Aut.
- Hyperbolic_space wikiPageUsesTemplate Template:Main.
- Hyperbolic_space wikiPageUsesTemplate Template:Reflist.
- Hyperbolic_space subject Category:Homogeneous_spaces.
- Hyperbolic_space subject Category:Hyperbolic_geometry.
- Hyperbolic_space subject Category:Topological_spaces.
- Hyperbolic_space hypernym Space.
- Hyperbolic_space type Redirect.
- Hyperbolic_space type Space.
- Hyperbolic_space type Surface.
- Hyperbolic_space comment "In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.It is hyperbolic geometry in more than 2 dimensions, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and elliptic geometry that have a constant positive curvature.When embedded to a Euclidean space (of a higher dimension), every point of a hyperbolic space is a saddle point.".
- Hyperbolic_space label "Hyperbolic space".