In this paper, our aim is to research the change in the magnetic field using the curvature theory of ruled surfaces. For this, we examine magnetic curves of the curve whose existence is guaranteed from the derivative formulas of the rotation frame. The Killing vector fields and Lorentz forces of these magnetic curves are calculated. Additionally, correlations between curvatures are obtained. Flux ruled surfaces are obtained and the conditions for developable are achieved. Finally, examples of the magnetic flux developable ruled surfaces are given.

中文翻译：

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磁通直纹面和由曲率理论得到的磁曲线

在本文中，我们的目的是利用直纹面曲率理论研究磁场的变化。为此，我们检查了由旋转坐标系的导数公式保证其存在的磁曲线。计算这些磁曲线的杀伤矢量场和洛伦兹力。此外，还获得了曲率之间的相关性。获得了磁通直纹面，满足了可展开的条件。最后，给出了磁通可展开直纹面的例子。