On non-null relatively normal-slant helices in Minkowski 3-space

On non-null relatively normal-slant helices in Minkowski 3-space

E Nešović, U Öztürk, ÖEB Koç – Filomat, 2022

By using the Darboux frame| ξ, ζ, η| of a non-null curve lying on a timelike surface in Minkowski 3-space, where ξ is the unit tangent vector of the curve, η is the unit spacelike normal vector field restricted to the curve and ζ=±η× ξ, 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 ζ is constant.
We give the necessary and sufficient conditions for non-null curves lying on a …