Some Connections between Minkowski and Hyperbolic Planes
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 133-139
MSC: Primary 51B20.
DOI: 10.4064/ba52-2-4
Abstract
The model of the Minkowski plane in the projective plane with a fixed conic sheds a new light on the connection between the Minkowski and hyperbolic geometries. The construction of the Minkowski plane in a hyperbolic plane over a Euclidean field is given. It is also proved that the geometry in an orthogonal bundle of circles is hyperbolic in a natural way.
