Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0805-27
Keywords
Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonicity, harmonic position.
First Page
249
Last Page
260
Recommended Citation
ÇELİK, B, AKPINAR, A, & ÇİFTÇİ, S (2010). On harmonicity in some Moufang-Klingenberg planes. Turkish Journal of Mathematics 34 (2): 249-260. https://doi.org/10.3906/mat-0805-27