The Double Tangency Symmetries in Laguerre Plane

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

Abstrakty

EN

The group generated by double tangency symmetries in a Laguerre plane is investigated. The geometric classification of involutions of a symmetric Laguerre plane is given. We introduce the notion of projective automorphisms using the double tangency and parallel perspectivities. We give the description of the groups of projective automorphisms and automorphisms generated by double tangency symmetries as subgroups of the group M(𝔽,ℝ) of automorphisms of a chain geometry Σ(𝔽,ℝ) following Benz.

Kategorie tematyczne

• 51B15: Laguerre geometries

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 2
• Strony: 123-137

Daty

wydano

2007

Twórcy

autor

Jarosław Kosiorek

• Department of Mathematics and Informatics, UWM Olsztyn, Żołnierska 14, 10-561 Olsztyn, Poland

autor

Andrzej Matraś

• Department of Mathematics and Informatics, UWM Olsztyn, Żołnierska 14, 10-561 Olsztyn, Poland

Identyfikatory

DOI

10.4064/ba55-2-3