- Konuralp Journal of Mathematics
- Vol: 7 Issue: 2
- A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$
A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$
Authors : Önder Gökmen Yildiz, Özlem Içer
Pages : 462-469
View : 9 | Download : 6
Publication Date : 2019-10-15
Article Type : Research
Abstract :In this paper, we investigate the evolution of quaternionic curve in Euclidean 4-space $\mathbb{R}^{4}$. We obtain evolution equations of the Frenet frame and curvatures. Then we give integrability conditions for the evolutions. Finally we give examples of evolution of curvatures.Keywords : Quaternionic curve, evolution