Abstract
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.
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López, R., Milin Šipuš, Ž., Primorac Gajčić, L. et al. Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space. Results Math 76, 52 (2021). https://doi.org/10.1007/s00025-021-01359-9
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DOI: https://doi.org/10.1007/s00025-021-01359-9