n-dimensional hyperbolic space

GPTKB entity

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 gptkb: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
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
https://www.w3.org/2000/01/rdf-schema#label	n-dimensional hyperbolic space