Statements (19)
Predicate | Object |
---|---|
gptkbp:instanceOf |
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 |
https://www.w3.org/2000/01/rdf-schema#label |
Poincaré half-plane model
|
gptkbp:introducedIn |
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:hyperbolic_geometry
|
gptkbp:bfsLayer |
5
|