- Konuralp Journal of Mathematics
- Volume: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 İÇER
Pages : 462-469
View : 39 | Download : 15
Publication Date : 2019-10-15
Article Type : Research Paper
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
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