On non-null relatively normal-slant helices in minkowski 3-space
Yükleniyor...
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
By using the Darboux frame {;xi, zeta, eta} of a non-null curve lying on a timelike surface in Minkowski 3-space, where xi is the unit tangent vector of the curve, eta is the unit spacelike normal vector field restricted to the curve and zeta = +/-eta x xi, we define relatively normal-slant helices as the curves satisfying the condition that the scalar product of the fixed vector spanning their axis and the non-constant vector field zeta is constant. We give the necessary and sufficient conditions for non-null curves lying on a timelike surface to be relatively normal-slant helices. We consider the special cases when non-null relatively-normal slant helices are geodesic curves, asymptotic curves, or lines of the principal curvature. We show that an asymptotic spacelike hyperbolic helix lying on the principal normal surface over the helix and a geodesic spacelike general helix lying on the timelike cylindrical ruled surface, are some examples of non-null relatively normal-slant helices in E-1(3)
Açıklama
The first author was partially supported by the Serbian Ministry of Education, Science and Technological Development (Agreement number 451- 03 - 68/2022 - 14/200122) .
Anahtar Kelimeler
Slant Helix, General Helix, Darboux Frame, Timelike Surface, Minkowski Space, Curves
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
36
Sayı
6
Künye
Nešović, E., Öztürk, U., & Koç, Ö. E. B. (2022). On non-null relatively normal-slant helices in Minkowski 3-space. Filomat, 36(6), 2051-2062.
