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Pregled bibliografske jedinice broj: 1101282

Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space


Lopez, Rafael; Milin Šipuš, Željka; Primorac Gajčić, Ljiljana; Protrka, Ivana
Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space // Results in mathematics, 76 (2021), 1; 52, 21 doi:10.1007/s00025-021-01359-9 (međunarodna recenzija, članak, znanstveni)


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Naslov
Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space

Autori
Lopez, Rafael ; Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana

Izvornik
Results in mathematics (1422-6383) 76 (2021), 1; 52, 21

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Lorentz-Minkowski space ; null-scroll ; harmonic evolute ; mean curvature

Sažetak
Null scrolls in Lorentz-Minkowski space are ruled surfaces whose rulings are null vectors. They are the only surfaces whose harmonic evolute is not a surface, but a single curve which is spacelike if the mean curvature of a null scroll is not constant. In this paper we do the inverse problem: given a spacelike curve, we find null scrolls having this curve as its harmonic evolute. We also discuss in which cases a null scroll is a B-scroll.

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

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Lopez, Rafael; Milin Šipuš, Željka; Primorac Gajčić, Ljiljana; Protrka, Ivana
Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space // Results in mathematics, 76 (2021), 1; 52, 21 doi:10.1007/s00025-021-01359-9 (međunarodna recenzija, članak, znanstveni)
Lopez, R., Milin Šipuš, Ž., Primorac Gajčić, L. & Protrka, I. (2021) Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space. Results in mathematics, 76 (1), 52, 21 doi:10.1007/s00025-021-01359-9.
@article{article, author = {Lopez, Rafael and Milin \v{S}ipu\v{s}, \v{Z}eljka and Primorac Gaj\v{c}i\'{c}, Ljiljana and Protrka, Ivana}, year = {2021}, pages = {21}, DOI = {10.1007/s00025-021-01359-9}, chapter = {52}, keywords = {Lorentz-Minkowski space, null-scroll, harmonic evolute, mean curvature}, journal = {Results in mathematics}, doi = {10.1007/s00025-021-01359-9}, volume = {76}, number = {1}, issn = {1422-6383}, title = {Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space}, keyword = {Lorentz-Minkowski space, null-scroll, harmonic evolute, mean curvature}, chapternumber = {52} }
@article{article, author = {Lopez, Rafael and Milin \v{S}ipu\v{s}, \v{Z}eljka and Primorac Gaj\v{c}i\'{c}, Ljiljana and Protrka, Ivana}, year = {2021}, pages = {21}, DOI = {10.1007/s00025-021-01359-9}, chapter = {52}, keywords = {Lorentz-Minkowski space, null-scroll, harmonic evolute, mean curvature}, journal = {Results in mathematics}, doi = {10.1007/s00025-021-01359-9}, volume = {76}, number = {1}, issn = {1422-6383}, title = {Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space}, keyword = {Lorentz-Minkowski space, null-scroll, harmonic evolute, mean curvature}, chapternumber = {52} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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