Affiliation:
1. Department of Elementary Mathematics Education, Ahi Evran University, Kırşehir, 40100/Turkey
Abstract
In this paper, we obtain a new version of Serret-Frenet formulae for quaternionic curve in [Formula: see text] by using a method similar to the method given by Bharathi and Nagaraj and called it Type 2-Quaternionic Frame. Also, we give an application of this new type of the quaternionic frame by an example.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Cited by
6 articles.
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1. Classification of Möbius homogeneous curves in $ \mathbb{R}^4 $;AIMS Mathematics;2024
2. Quaternionic Bertrand curves according to type 2-quaternionic frame in $\mathbb{R}^{4}$;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2022-06-30
3. Winding number and homotopy for quaternionic curves;International Journal of Geometric Methods in Modern Physics;2022-03-15
4. On the quaternionic osculating direction curves;International Journal of Geometric Methods in Modern Physics;2022-01-31
5. A primer on the differential geometry of quaternionic curves;Mathematical Methods in the Applied Sciences;2021-08-05