Izvorni znanstveni članak
On eqiform Darboux helices in Galilean 3-space
Ufuk Öztürk
orcid.org/0000-0002-8800-7869
; Department of Mathematics, University of Çankırı Karatekin, Çankırı, Turkey
Esra Betül Koç Öztürk
orcid.org/0000-0002-9437-3443
; A. H. R. Mah. Çayyolu Cad. Ada Sitesi, Çankırı, Turkey
Emilija Milojko Nešović
orcid.org/0000-0003-3600-0486
; Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Sažetak
In this paper, we define equiform Darboux helices in a Galilean space \(G_{3}\) and obtain their explicit parameter equations. We show that equiform Darboux helices have only a non-isotropic axis and characterize equiform Darboux vectors of equiform Darboux helices in terms of equiform rectifying curves. We prove that an equiform Darboux vector
of an equiform Darboux helix α is an equiform Darboux helix if an admissible curve \(\alpha\) is a rectifying curve. We also prove that there are no equiform curves of constant precession
and give some examples of equiform Darboux helices.
Ključne riječi
Galilean 3-space; equiform geometry; Darboux vector
Hrčak ID:
198605
URI
Datum izdavanja:
7.11.2018.
Posjeta: 837 *