prikaz prve stranice dokumenta Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
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Scientific paper - Original scientific paper
Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 28 (2020), 3; 229-240. https://doi.org/10.2478/auom-2020-0043
Milin Šipuš, Željka; Primorac Gajčić, Ljiljana; Protrka, Ivana

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Milin Šipuš, Ž., Primorac Gajčić, Lj. & Protrka, I. (2020). Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space. Analele Universitatii "Ovidius" Constanta - Seria Matematica, 28. (3), 229-240. doi: 10.2478/auom-2020-0043

Milin Šipuš, Željka, et al. "Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space." Analele Universitatii "Ovidius" Constanta - Seria Matematica, vol. 28, no. 3, 2020, pp. 229-240. https://doi.org/10.2478/auom-2020-0043

Milin Šipuš, Željka, Ljiljana Primorac Gajčić and Ivana Protrka. "Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space." Analele Universitatii "Ovidius" Constanta - Seria Matematica 28, no. 3 (2020): 229-240. https://doi.org/10.2478/auom-2020-0043

Milin Šipuš, Ž., Primorac Gajčić, Lj. and Protrka, I. (2020) 'Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space', Analele Universitatii "Ovidius" Constanta - Seria Matematica, 28(3), pp. 229-240. doi: 10.2478/auom-2020-0043

Milin Šipuš Ž, Primorac Gajčić Lj, Protrka I. Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space. Analele Universitatii "Ovidius" Constanta - Seria Matematica [Internet]. 2020 December 01 [cited 2024 May 05];28(3):229-240. doi: 10.2478/auom-2020-0043

Ž. Milin Šipuš, Lj. Primorac Gajčić and I. Protrka, "Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space", Analele Universitatii "Ovidius" Constanta - Seria Matematica, vol. 28, no. 3, pp. 229-240, December 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:169:250828. [Accessed: 05 May 2024]

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Metadata
Title (english)Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
AuthorŽeljka Milin Šipuš
AuthorLjiljana Primorac Gajčić
AuthorIvana Protrka
Author's institutionJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Author's institutionUniversity of Zagreb
Faculty of Mining, Geology and Petroleum Engineering
(Department of Mathematics, Informatics and Descriptive Geometry)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract (english)
Abstract 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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleAnalele Universitatii "Ovidius" Constanta - Seria Matematica
Numberingvol. 28, no. 3, pp. 229-240
e-ISSN1844-0835
DOIhttps://doi.org/10.2478/auom-2020-0043
URN:NBNurn:nbn:hr:169:250828
Publication2020-12-01
Document URLhttps://www.sciendo.com/article/10.2478/auom-2020-0043
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2021-07-26 08:01:13