On harmonicity in some Moufang-Klingenberg planes
TURKISH JOURNAL OF MATHEMATICS, cilt.34, sa.2, ss.249-260, 2010 (SCI-Expanded, Scopus, TRDizin)
- 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.