Kiziltuʇ, Sezai; Yayli, Yusuf

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.