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Involutes of pseudo-null curves in Lorentz–Minkowski 3-space
Mathematics, 9 (2021), 11; 1256. https://doi.org/10.3390/math9111256
López, Rafael; Milin Šipuš, Željka; Primorac Gajčić, Ljiljana; Protrka, Ivana

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López, R., Milin Šipuš, Ž., Primorac Gajčić, Lj. i Protrka, I. (2021). Involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Mathematics, 9. (11). doi: 10.3390/math9111256

López, Rafael, et al. "Involutes of pseudo-null curves in Lorentz–Minkowski 3-space." Mathematics, vol. 9, br. 11, 2021. https://doi.org/10.3390/math9111256

López, Rafael, Željka Milin Šipuš, Ljiljana Primorac Gajčić i Ivana Protrka. "Involutes of pseudo-null curves in Lorentz–Minkowski 3-space." Mathematics 9, br. 11 (2021). https://doi.org/10.3390/math9111256

López, R., et al. (2021) 'Involutes of pseudo-null curves in Lorentz–Minkowski 3-space', Mathematics, 9(11). doi: 10.3390/math9111256

López R, Milin Šipuš Ž, Primorac Gajčić Lj, Protrka I. Involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Mathematics [Internet]. 31.05.2021. [pristupljeno 01.10.2024.];9(11). doi: 10.3390/math9111256

R. López, Ž. Milin Šipuš, Lj. Primorac Gajčić i I. Protrka, "Involutes of pseudo-null curves in Lorentz–Minkowski 3-space", Mathematics, vol. 9, br. 11, Svibanj 2021. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:169:659611. [Citirano: 01.10.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:169:659611
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Podaci o radu
Naslov (engleski)Involutes of pseudo-null curves in Lorentz–Minkowski 3-space
AutorRafael López https://orcid.org/0000-0003-3108-7009
AutorŽeljka Milin Šipuš
AutorLjiljana Primorac Gajčić
AutorIvana Protrka
Autorova ustanovaSveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Autorova ustanovaSveučilište u Zagrebu
Prirodoslovno-matematički fakultet
(Matematički odsjek)
Autorova ustanovaSveučilište u Zagrebu
Rudarsko-geološko-naftni fakultet
(Zavod za matematiku, informatiku i nacrtnu geometriju)
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Matematika
Sažetak (engleski)
In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null curves are spacelike curves with null principal normals, and their involutes can be defined analogously as for the Euclidean curves, but they exhibit properties that cannot occur in Euclidean space. The first result of the paper is that the involutes of pseudo-null curves are null curves, more precisely, null straight lines. Furthermore, a method of reconstruction of a pseudo-null curve from a given null straight line as its involute is provided. Such a reconstruction process in Euclidean plane generates an evolute of a curve, however it cannot be applied to a straight line. In the case presented, the process is additionally affected by a choice of different null frames that every null curve allows (in this case, a null straight line). Nevertheless, we proved that for different null frames, the obtained pseudo-null curves are congruent. Examples that verify presented results are also given.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaMathematics
Brojčani podacivol. 9, br. 11, 1256
e-ISSN2227-7390
DOIhttps://doi.org/10.3390/math9111256
URN:NBNurn:nbn:hr:169:659611
Datum objave publikacije2021-05-31
URL dokumentahttps://www.mdpi.com/2227-7390/9/11/1256
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Imenovanje 4.0 međunarodna (CC BY 4.0)
Datum i vrijeme pohrane2021-07-26 08:57:04