Izvorni znanstveni članak

https://doi.org/10.31896/k.24.4

Generalized Helices on a Lightlike Cone in 3-Dimensional Lorentz-Minkowski Space

Željka Milin Šipuš orcid.org/0000-0002-0726-3335 ; Prirodoslovno-matematički fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ivana Protrka orcid.org/0000-0001-6616-3206 ; Rudarsko-geološko-naftni fakultet Sveučilišta u Zagrebu, Zagreb, Hrvatska
Ljiljana Primorac Gajčić orcid.org/0000-0002-8460-3196 ; Odjel za matematiku Sveučilišta Josipa Jurja Strossmayera u Osijeku, Osijek, Hrvatska

Sažetak

In this paper we provide characterizations and give some properties of generalized helices in 3-dimensional Lorentz-Minkowski space that lie on a lightlike cone. Furthermore, by analyzing their projections, which turn out to be Euclidean or Lorentzian logarithmic spiral, we present their parametrizations. In particular, we also analyze planar generalized helices, that is planar intersections of a lightlike cone.

Ključne riječi

Lorentz-Minkowski space; generalized helix; curve of constant slope; lightlike cone

Hrčak ID:

248415

URI

https://hrcak.srce.hr/248415

Datum izdavanja:

27.12.2020.

Podaci na drugim jezicima: hrvatski

Posjeta: 1.356 *