Some Connections between Minkowski and Hyperbolic Planes

• Autorzy: Jarosław Kosiorek , Andrzej Matraś
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 51B20: Minkowski geometries

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 2
• Strony: 133-139

Daty

wydano

2004

Twórcy

autor

Jarosław Kosiorek

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Żołnierska 14, 10-561 Olsztyn, Poland

autor

Andrzej Matraś

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Żołnierska 14, 10-561 Olsztyn, Poland

Identyfikatory

DOI

10.4064/ba52-2-4