n-dimensional hyperbolic space

URI: https://gptkb.org/entity/n-dimensional_hyperbolic_space
GPTKB entity
Statements (33)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkb:Riemannian_manifold
gptkbp:canBe gptkb:Klein_model
Poincaré ball model
Poincaré half-space model
hyperboloid model
gptkbp:connectedTo gptkb:Lobachevskian_geometry
gptkb:hyperbolic_plane
noncommutative geometry
hyperbolic group
hyperbolic manifold
gptkbp:dimensions n
gptkbp:hasBoundaryAtInfinity (n-1)-sphere
gptkbp:hasConnection true
gptkbp:hasConstantCurvature negative
gptkbp:hasModel gptkb:hyperbolic_geometry
gptkbp:hasSectionalCurvature -1
gptkbp:hasVolumeGrowth exponential
https://www.w3.org/2000/01/rdf-schema#label n-dimensional hyperbolic space
gptkbp:includesMetric hyperbolic metric
gptkbp:isHomogeneous true
gptkbp:isIsotropic true
gptkbp:isometryGroup O(n,1)
SO(n,1)
gptkbp:universalCover compact hyperbolic manifolds
gptkbp:usedIn gptkb:cosmology
gptkb:theoretical_physics
gptkb:topology
differential geometry
geometric group theory
gptkbp:bfsParent gptkb:SO^+(1,n)
gptkb:Special_orthogonal_group_of_signature_(1,n)
gptkbp:bfsLayer 7