Publication: Cross-ratios of points and lines in some Moufang-Klingenberg planes
Date
Authors
Akpınar, Atilla
Çelik, Basri
Çiftçi, Süleyman
Authors
Advisor
Language
Type
Publisher:
Hacettepe Üniversitesi
Journal Title
Journal ISSN
Volume Title
Abstract
This paper deals with Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. The cross-ratio of concurrent lines is defined in a special case, and extended to the whole plane M(A). So, some results related to cross-ratios of points of M(A) are carried over to lines of M(A). Namely, we show that four pairwise non-neighbour lines passing through the point U are in harmonic position if and only if they are harmonic.
Description
Source:
Keywords:
Keywords
Mathematics, Moufang-Klingenberg planes, Local alternative ring, Cross-ratio
Citation
Akpınar, A. vd.(2011). "Cross-ratios of points and lines in some Moufang-Klingenberg planes". Hacettepe Journal of Mathematics and Statistics, 40(1), 1-13.