model of hyperbolic geometry
C51335
concept
A model of hyperbolic geometry is a mathematical structure that represents the axioms and properties of hyperbolic space—where, unlike in Euclidean geometry, through any point not on a given line there exist infinitely many parallel lines—within a concrete setting such as the Poincaré disk or upper half-plane.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| metric of constant negative curvature | 1 |
Instances (2)
| Instance | Via concept surface |
|---|---|
| Poincaré upper half-plane model | — |
| Poincaré metric | metric of constant negative curvature |