On harmonicity in some Moufang-Klingenberg planes

ÇELİK B., AKPINAR A., Ciftci S.

TURKISH JOURNAL OF MATHEMATICS, vol.34, no.2, pp.249-260, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.3906/mat-0805-27
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.249-260
  • Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonicity, harmonic position, CROSS-RATIOS, 6-FIGURES
  • Bursa Uludag University Affiliated: Yes

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.