On the quaternionic Mannheim curves of Aw(k)-type in Euclidean space E3
Keywords:Aw(k)-type curve, general helix, mannheim curves, quaternion algebra.
AbstractIn this paper, we consider that the curvature conditions of Aw(k)-type (1≤ k ≤ 3) quaternioniccurves in Euclidean space E3 and investigates quaternionic Mannheim curves α:I →Q withk ≠ 0 and r ≠ 0 . Besides, we show that quaternionic Mannheim curves are Aw(2) -type andAw (3)-type quaternionic curves in E3. But, there is no such a Mannheim curve of Aw(1) -type.
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