- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 2
- On Quaternionic Bertrand Curves in Euclidean $3$-Space
On Quaternionic Bertrand Curves in Euclidean $3$-Space
Authors : Aykut HAS, Beyhan YILMAZ
Pages : 355-365
Doi:10.47000/tjmcs.1021801
View : 6 | Download : 3
Publication Date : 2022-12-30
Article Type : Research
Abstract :In this article, spatial quaternionic Bertrand curve pairs in the 3-dimensional Euclidean space are examined. Algebraic properties of quaternions, basic definitions and theorems are given. Later, some characterizations of spatial quaternionic Bertrand curve pairs are obtained in the 3-dimensional Euclidean space.Keywords : Quaternions, spatial quaternion, quaternion algebra, Bertrand curve, curvatures, Euclidean space