Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:geometric_model
|
| gptkbp:borders |
real axis and infinity
|
| gptkbp:conformal |
true
|
| gptkbp:describes |
gptkb:hyperbolic_plane
|
| gptkbp:dimensions |
2
|
| gptkbp:field |
gptkb:hyperbolic_geometry
|
| gptkbp:geodesics |
vertical lines
semicircles orthogonal to x-axis |
| gptkbp:introducedIn |
gptkb:19th_century
|
| gptkbp:measures |
ds^2 = (dx^2 + dy^2)/y^2
|
| gptkbp:namedAfter |
gptkb:Henri_Poincaré
|
| gptkbp:relatedTo |
gptkb:Poincaré_disk_model
|
| gptkbp:usedIn |
gptkb:Teichmüller_theory
complex analysis modular forms |
| gptkbp:uses |
upper half of the complex plane
|
| gptkbp:bfsParent |
gptkb:Poincaré_disk_model
gptkb:hyperbolic_geometry gptkb:hyperbolic_plane |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré half-plane model
|