On harmonicity in some Moufang-Klingenberg planes

Authors: BASRİ ÇELİK, ATİLLA AKPINAR, SÜLEYMAN ÇİFTÇİ

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.

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