Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space

被引：0
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作者：
Rafael López
Željka Milin Šipuš
Ljiljana Primorac Gajčić
Ivana Protrka
机构：
[1] Universidad de Granada,Departamento de Geometría y Topología
[2] University of Zagreb,Department of Mathematics, Faculty of Science
[3] J. J. Strossmayer University of Osijek,Department of Mathematics
[4] University of Zagreb,Faculty of Mining, Geology and Petroleum Engineering
来源：
Results in Mathematics | 2021年 / 76卷
关键词：
Lorentz-Minkowski space; Null-scroll; Harmonic evolute; Mean curvature; 53A10; 53B30; 53C50;
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摘要：
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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