- Journal of Advanced Mathematics and Education
- Volume:2 Issue:3
- On the quaternionic Bertrand curves of AW k -type in Euclidean space E³
On the quaternionic Bertrand curves of AW k -type in Euclidean space E³
Authors : Sezai KIZILTUĞ, Gökhan MUMCU
Pages : 1-11
View : 46 | Download : 9
Publication Date : 2019-10-01
Article Type : Other Papers
Abstract :In this paper, We consider that the curvature conditions of AW k -type 1 ≤k≤ 3 quaternioniccurves in Euclidean space E3and investigates quaternionic Bertrand curves α : I → Q with k 6= 0and r 6= 0. Besides, we show that quaternionic Bertrand curves to be AW 2 -type and AW 3 -typequaternionic curves in E. But it is shown that there is no such a quaternionic Bertrand curve ofAW 1 -typeKeywords : AW k type curve, General helix, Bertrand curves, Euclidean space, Quaternion algebra
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