Null scrolls in Lorentz-Minkowski space are ruled surfaces whose rulings are null vectors. They are the only surfaces whose harmonic evolute is not a surface, but a single curve which is spacelike if the mean curvature of a null scroll is not constant. In this paper we do the inverse problem: given a spacelike curve, we find null scrolls having this curve as its harmonic evolute. We also discuss in which cases a null scroll is a B-scroll.

中文翻译：

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Lorentz-Minkowski空间中具有类空谐波演化的零滚动

Lorentz-Minkowski空间中的零滚动是有格曲面，其裁定为零向量。它们是唯一其谐波渐开线不是表面的表面，而是单曲线，如果零涡旋的平均曲率不是恒定的，则该曲线像空间。在本文中，我们提出了一个反问题：给定一个类似空间的曲线，我们发现以该曲线为谐波渐进线的零涡卷。我们还将讨论在什么情况下空滚动是B滚动。