Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space (CROSBI ID 288095)
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Podaci o odgovornosti
Lopez, Rafael ; Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
engleski
Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space
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.
Lorentz-Minkowski space ; null-scroll ; harmonic evolute ; mean curvature
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