We consider a timelike sweeping surface with rotation minimizing frames in Minkowski 3-Space [Formula: see text]. We introduce a new geometric “invariant”, which demonstrates the geometric properties and local singularities of the surface. Subsequently, we give the sufficient and necessary conditions for this surface to be a developable ruled surface. Finally, the singularities of these ruled surfaces are investigated.

中文翻译：

---

时间般的扫描表面和奇点

我们考虑在 Minkowski 3-Space [公式：见文本] 中具有旋转最小化帧的类时扫描表面。我们引入了一个新的几何“不变量”，它展示了表面的几何特性和局部奇异性。随后，我们给出了该曲面成为可展直纹曲面的充要条件。最后，研究了这些直纹面的奇异性。