On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3

Kiziltuʇ 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 E3 and investigates quaternionic Mannheim curves α:I → Q with k ≠ 0 and r ≠ 0. Besides, we show that quaternionic Mannheim curves are Aw(2)-type and Aw(3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1) -type.