Pregled bibliografske jedinice broj: 1265352
Geodesics and translation curves in Sol40
Geodesics and translation curves in Sol40 // Mathematics, 11 (2023), 6; 1533, 9 doi:10.3390/math11061533 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1265352 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Geodesics and translation curves in Sol40
Autori
Erjavec, Zlatko
Izvornik
Mathematics (2227-7390) 11
(2023), 6;
1533, 9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
geodesic ; translation curve ; solvable Lie group ; Sol40 space
Sažetak
A translation curve in a Thurston space is a curve such that for given unit vector at the origin, translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces translation curves coincide with geodesic lines. However, this does not hold for Thurston spaces equipped with twisted product. In these spaces translation curves seem more intuitive and simpler than geodesics. In this paper, geodesics and translation curves in Sol40 space are classified and the curvature properties of translation curves are investigated.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet organizacije i informatike, Varaždin
Profili:
Zlatko Erjavec
(autor)
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
