In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according
to the Frenet vectors of non-null space curves, are introduced with extra conditions that …

In this paper, non-lightlike ruled surfaces of constant slope in Minkowski 3-space with a non-
lightlike base curve c (s)=∫ α t+ β n+ γ bds, where t, n, b are tangent, principal normal and …

In this paper, firstly, we define a W-direction curve and W-rectifying curve of a Frenet curve in
3-dimensional Euclidean space E^ 3 by using the unit Darboux vector field W of the Frenet …

We study the non-lightlike ruled surfaces in Minkowski 3-space with non-lightlike base curve
c (s)=∫(α t+ β n+ γ b) ds, where t, n, b are the tangent, principal normal and binormal vectors …

We study (non-geodesic) normal magnetic curves of three-dimensional normal almost
paracontact manifolds. We compute their curvature and torsion as well as a Lancret invariant …

In this paper, we define some new associated curves as integral curves of a vector field
generated by Frenet vectors of tangent indicatrix of a curve in Euclidean 3-space. We give …

We find all space-like loxodromes on rotational surfaces which have space-like meridians or
time-like meridians, respectively by using a relevant Lorentzian angle in Minkowski 3-space …

For motion of a material point along a space curve, due to Siacci [1], a resolution of the
acceleration vector is well known. In this resolution, the acceleration vector is stated as the …

Choosing an alternative frame, which is the Frenet frame of the principal‐directional curve
along a nonlightlike Frenet curve γ, we define de Sitter Darboux images, hyperbolic Darboux …

In this paper, we investigate general helices with lightlike slope axis. We give necessary and
sufficient conditions for a general helix to have a lightlike slope axis. We obtain parametric …