In this paper, we investigate a curve whose spherical images (the tangent indicatrix and
binormal indicatrix) are spherical slant helices and called it as a C− slant helix. This notation …

The theory of curves has a very long history. Moving frames defined on curves are important
parts of this theory. They have never lost their importance. A point particle of constant mass …

In this paper, we define framed slant helices and give a necessary and sufficient condition
for them in three-dimensional Euclidean space. Then, we introduce the spherical images of …

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 …

In this paper, we consider a regular curve on an oriented surface in Euclidean 3-space with
the Darboux frame {T,U,V\} along the curve, where T is the unit tangent vector field of the …

In this paper, we define k‐type null Cartan slant helices lying on a timelike surface in
Minkowski space according to their Darboux frame, where k∈{0, 1, 2}. We study these …

In this work, we research geometrical interpretation involved with the energy on Lie groups.
We explore the geometric properties of spherical graphics by way of energy. We apply totally …

In this study, we investigate the problem how to characterize a surface family from a given
common geodesic curve in a 3-dimensional Lie group G. We obtain a parametric …

In this study, we introduce framed curves which can have singular points in three-
dimensional Lie groups. We give Frenet-Serret type formulas of framed curves with the help …

Spinor Frenet Equations in Three Dimensional Lie Groups Page 1 Adv. Appl. Clifford Algebras
26 (2016), 1341–1348 c© 2016 Springer International Publishing 0188-7009/041341-8 …