On Quaternionic Bertrand Curves in Euclidean $3$-Space

Authors : Aykut HAS, Beyhan YILMAZ

Pages : 355-365

Doi:10.47000/tjmcs.1021801

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Publication Date : 2022-12-30

Article Type : Research Paper

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