In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean space ${\mathbb{E}}_2^4$ is obtained in terms of its curvature functions. The evolution equation of Frenet frame and curvatures of quaternionic curve are obtained. Also, examples of evolution equations of curvatures are given.

中文翻译：

---

半欧空间E24中四元离子曲线的演化

本文研究了半欧空间中半实四元数曲线的运动学 ${\mathbb{E}}_{\mathrm{2个}}^4$根据其曲率函数获得。得到了Frenet框架的演化方程和四元数曲线的曲率。另外，给出了曲率演化方程的示例。