On Quaternionic Bertrand Curves in Euclidean $3$-Space

Year 2022, Volume: 14 Issue: 2, 355 - 365, 30.12.2022

Aykut Has , Beyhan Yılmaz

https://doi.org/10.47000/tjmcs.1021801

Cited By: 2

https://izlik.org/JA76FY52XH

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

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