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Scientific paper - Original scientific paper
Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 27=555 (2023); 219-230. https://doi.org/10.21857/yk3jwhnl19
Filipan, Ivana; Milin Šipuš, Željka; Primorac Gajčić, Ljiljana

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Filipan, I., Milin Šipuš, Ž. & Primorac Gajčić, Lj. (2023). Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space. Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 27=555., 219-230. doi: 10.21857/yk3jwhnl19

Filipan, Ivana, et al. "Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space." Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, vol. 27=555, 2023, pp. 219-230. https://doi.org/10.21857/yk3jwhnl19

Filipan, Ivana, Željka Milin Šipuš and Ljiljana Primorac Gajčić. "Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space." Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti 27=555 (2023): 219-230. https://doi.org/10.21857/yk3jwhnl19

Filipan, I., Milin Šipuš, Ž. and Primorac Gajčić, Lj. (2023) 'Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space', Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 27=555, pp. 219-230. doi: 10.21857/yk3jwhnl19

Filipan I, Milin Šipuš Ž, Primorac Gajčić Lj. Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space. Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti [Internet]. 2023 [cited 2025 March 31];27=555:219-230. doi: 10.21857/yk3jwhnl19

I. Filipan, Ž. Milin Šipuš and Lj. Primorac Gajčić, "Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space", Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, vol. 27=555, pp. 219-230, 2023. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:169:605081. [Accessed: 31 March 2025]

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Metadata
Title (english)Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space
AuthorIvana Filipan
AuthorŽeljka Milin Šipuš
AuthorLjiljana Primorac Gajčić
Author's institutionJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Author's institutionUniversity of Zagreb
Faculty of Science
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)
Translation surface is a surface formed by two curves moving along each other. In this paper we analyze this kind of surfaces in Lorentz-Minkowski 3-space R31 , which is the smooth manifold R3 endowed by a flat Lorentzian pseudometric. Translation surfaces in R31 can be classified with respect to the causal character of their generating curves (spacelike, timelike or null (lightlike)). We are specially interested in translation surfaces generated by at least one null curve, which we refer to as null-translation surfaces. In the present paper we determine all nulltranslation surfaces of constant mean curvature and prove that the only null-translation surfaces of constant Gaussian curvature are cylindrical surfaces.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleRad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti
Numberingvol. 27=555, pp. 219-230
p-ISSN1845-4100
DOIhttps://doi.org/10.21857/yk3jwhnl19
URN:NBNurn:nbn:hr:169:605081
Publication2023
Document URLhttps://hrcak.srce.hr/clanak/443918
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2025-02-17 13:47:04