Pregled bibliografske jedinice broj: 1064969
Parametrization of Null Scrolls as B-scrolls in 3-dimensional Lorentz-Minkowski Space
Parametrization of Null Scrolls as B-scrolls in 3-dimensional Lorentz-Minkowski Space // 21st Scientific-Professional Colloquium on Geometry and Graphics
Sisak, Hrvatska, 2019. str. 41-41 (poster, domaća recenzija, sažetak, znanstveni)
CROSBI ID: 1064969 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Parametrization of Null Scrolls as B-scrolls in
3-dimensional
Lorentz-Minkowski Space
Autori
Milin-Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
21st Scientific-Professional Colloquium on Geometry and Graphics
Mjesto i datum
Sisak, Hrvatska, 01.09.2019. - 05.09.2019
Vrsta sudjelovanja
Poster
Vrsta recenzije
Domaća recenzija
Ključne riječi
Nul scroll, B-scroll, Lorentz–Minkowskijeve prostor
(Null scroll, B-scroll, Lorentz–Minkowski space)
Sažetak
In the Lorentz-Minkowski 3-space, every non- degenerate ruled surface with null rulings can be reparametrized as a B-scroll, i.e. as a ruled surface whose rulings correspond to the binormal vectors of a base curve. In this work we provide such a reparametrization by introducing a proper null frame for a base curve related to the rulings of a surface. By such approach, we can establish relations between lightlike curvature of a base curve and curvatures of a null scroll. It is also shown that every null curve lying on a null scroll can be used as a base curve for such reparametrization.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
