On harmonicity in some Moufang-Klingenberg planes

ÇELİK B., AKPINAR A., Ciftci S.

TURKISH JOURNAL OF MATHEMATICS, cilt.34, sa.2, ss.249-260, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3906/mat-0805-27
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.249-260
  • Anahtar Kelimeler: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonicity, harmonic position, CROSS-RATIOS, 6-FIGURES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.