Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometry
|
| gptkbp:admits_compact_quotients |
yes
|
| gptkbp:dimensions |
3
|
| gptkbp:has_constant_curvature |
-1 in H^2 direction
0 in R direction |
| gptkbp:has_isometry_group |
Isom(H^2) × Isom(R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
H^2 × R geometry
|
| gptkbp:is_a_model_of |
3-dimensional geometry
|
| gptkbp:is_a_product_of |
gptkb:hyperbolic_plane
real line |
| gptkbp:is_homogeneous |
yes
|
| gptkbp:is_isotropic |
no
|
| gptkbp:is_locally_modeled_on |
H^2 × R
|
| gptkbp:isOneOf |
Thurston geometries
|
| gptkbp:relatedTo |
Seifert fibered spaces
|
| gptkbp:used_in |
3-manifold theory
|
| gptkbp:bfsParent |
gptkb:Thurston's_eight_geometries
|
| gptkbp:bfsLayer |
6
|