Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space (CROSBI ID 286370)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
engleski
Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear differential equation (Riccati equation) which relates curvatures of a base curve to curvatures of a null scroll. Conditioned by this equation, we can determine a family of null scrolls with a given null base curve and prescribed curvatures, in particular, a family of minimal and constant mean curvature null scrolls.
Null scroll ; prescribed curvature ; Lorentz-Minkowski space
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
28 (3)
2020.
229-240
objavljeno
1224-1784
1844-0835
10.2478/auom-2020-0043