On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E-3

KIZILTUĞ S., YAYLI Y.

KUWAIT JOURNAL OF SCIENCE, cilt.42, sa.2, ss.128-140, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.128-140
  • Anahtar Kelimeler: Aw(k)-type curve, general helix, mannheim curves, quaternion algebra
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider that the curvature conditions of Aw(k)-type (1 <= k <= 3) quaternionic curves in Euclidean space E-3 and investigates quaternionic Mannheim curves alpha:I -> Q with k not equal 0 and r not equal 0. Besides, we show that quaternionic Mannheim curves are Aw(2) -type and Aw (3)-type quaternionic curves in E-3. But, there is no such a Mannheim curve of Aw(1) -type.