On harmonicity in some Moufang-Klingenberg planes

Authors : Basri Çelik, Atilla Akpinar, Süleyman Çiftçi

Pages : 249-260

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper we study Moufang-Klingenberg planes M (A) defined over a local alternative ring A of dual numbers. We show that some collineations of M (A) preserve cross-ratio and thus establish a relation between harmonicity and harmonic position.
Keywords : Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonicity, harmonic position.