Null scrolls as B-scrolls in Lorentz–Minkowski 3- space (CROSBI ID 279320)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
engleski
Null scrolls as B-scrolls in Lorentz–Minkowski 3- space
Null scrolls, i.e. ruled surfaces whose base curve and rulings are both lightlike (null), are Lorentzian surfaceshaving no Euclidean counterparts. In this work we present reparametrization of nondegenerate null scroll as aB-scroll, i.e. as a ruled surface whose rulings correspond to the binormal vectors of a base curve. We prove that thecurvature of a base curve, which determines the Gaussian and mean curvature of a null scroll, is invariant under such areparametrization. We also determine a one-parameter family of null curves on null scroll which serve as base curves forthis kind of reparametrization.
Null scroll ; B-scroll ; Lorentz–Minkowski space
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Podaci o izdanju
43
2019.
2908-2920
objavljeno
1300-0098
1303-6149
10.3906/mat-1904-140