Pregled bibliografske jedinice broj: 1094665
Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 28 (2020), 3; 229-240 doi:10.2478/auom-2020-0043 (međunarodna recenzija, članak, znanstveni)
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Naslov
Null scrolls with prescribed curvatures in
Lorentz-Minkowski 3-space
Autori
Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
Izvornik
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica (1224-1784) 28
(2020), 3;
229-240
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Null scroll ; prescribed curvature ; Lorentz-Minkowski space
Sažetak
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.
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
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
