|
gptkbp:instanceOf
|
gptkb:geometry
gptkb:mathematical_concept
|
|
gptkbp:dimensions
|
n-dimensional
|
|
gptkbp:has_boundary_at_infinity
|
ideal boundary
|
|
gptkbp:has_constant_curvature
|
negative
|
|
gptkbp:has_geodesics
|
curves of shortest distance
|
|
gptkbp:has_isometry_group
|
SO(n,1)
|
|
gptkbp:has_sectional_curvature
|
-1 (in standard normalization)
|
|
gptkbp:has_tessellations
|
regular tilings
|
|
gptkbp:hasModel
|
gptkb:Klein_model
gptkb:Poincaré_disk_model
gptkb:Poincaré_half-plane_model
hyperboloid model
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Hyperbolic space
|
|
gptkbp:includesMetric
|
hyperbolic metric
|
|
gptkbp:namedFor
|
gptkb:Felix_Klein
|
|
gptkbp:parallel_postulate
|
replaced
|
|
gptkbp:relatedTo
|
gptkb:hyperbolic_geometry
|
|
gptkbp:studiedBy
|
gptkb:Carl_Friedrich_Gauss
gptkb:János_Bolyai
gptkb:Nikolai_Lobachevsky
differential geometry
|
|
gptkbp:type
|
noncommutative geometry
|
|
gptkbp:used_in
|
gptkb:hyperbolic_groups
gptkb:theory_of_relativity
gptkb:topology
gptkb:hyperbolic_manifolds
complex analysis
group theory
hyperbolic 3-manifolds
|
|
gptkbp:volume_growth
|
exponential
|
|
gptkbp:bfsParent
|
gptkb:Hyperbolic_geometry
|
|
gptkbp:bfsLayer
|
7
|