Pregled bibliografske jedinice broj: 1029217
Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space
Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space // International journal of geometric methods in modern physics, 16 (2019), 5; 1950076, 15 doi:10.1142/S0219887819500762 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1029217 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space
Autori
López, Rafael ; Milin Šipuš, Željka ; Primorac Gajčić, Ljiljana ; Protrka, Ivana
Izvornik
International journal of geometric methods in modern physics (0219-8878) 16
(2019), 5;
1950076, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lorentz–Minkowski space ; harmonic evolute ; B-scroll ; mean curvature
Sažetak
In this paper, we study harmonic evolutes of B- scrolls, that is, of ruled surfaces in Lorentz– Minkowski space having no Euclidean counterparts. Contrary to Euclidean space where harmonic evolutes of surfaces are surfaces again, harmonic evolutes of B-scrolls turn out to be curves. In particular, we show that the harmonic evolute of a B-scroll of constant mean curvature together with its base curve forms a null Bertrand pair. This allows us to characterize B-scrolls of constant mean curvature and reconstruct them from a given null curve which is their harmonic evolute.
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
