A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$

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

References

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