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

Year 2019, Volume: 7 Issue: 2, 462 - 469, 15.10.2019

Önder Gökmen Yıldız , Özlem İçer

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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