Naslov
Null scrolls as B-scrolls in Lorentz–Minkowski 3- space

Autori
Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana

Izvornik
Turkish Journal of Mathematics (1300-0098) 43 (2019); 2908-2920

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Nul scroll ; B-scroll ; Lorentz–Minkowskijev prostor
(Null scroll ; B-scroll ; Lorentz–Minkowski space)

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA