Title of article :
On harmonicity in some Moufang-Klingenberg planes
Author/Authors :
Celik, Basri Uludag University - Science and Arts Faculty - Department of Mathematics, Turkey , Akpınar, Atilla Uludag University - Science and Arts Faculty - Department of Mathematics, Turkey , Ciftci, Suleyman Uludag University - Science and Arts Faculty - Department of Mathematics, Turkey
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
