Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space (CROSBI ID 286370)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space // Analele Universităţii "Ovidius" Constanţa Seria Matematică, 28 (2020), 3; 229-240. doi: 10.2478/auom-2020-0043

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

Povezanost rada

Matematika

Poveznice
Indeksiranost