In this study, the ruled surfaces obtained by normal and binormal vectors along a timelike
space curve in 3 dimensional Minkowski space by using q-frame is investigated. Directional …

In this paper, we give a parametrization of a directional space curve by using adapted frame
called q-frame.. The spherical images of both directional normal indicatrix and directional …

The aim of this paper is to study characterization of tube surfaces (called directional tube
surfaces) with respect to the q-frame in Euclidean 4-space E^4. First, a parametrization of …

In this paper, a directional space curve by using adapted frame called q-frame is introduced.
We first investigate the spherical indicatrices of this space curve. Then we work on the …

In this work, the directional associated curves of timelike space curve in Minkowski 3-space
by using q-frame are studied. We investigate quasi normal-binormal direction and donor …

In this paper, we work on the directional evolutions of the ruled surfaces generated by the
quasi normal and quasi binormal vector fields of timelike space curve in Minkowski 3-space …

A canal surface is defined as an envelope of a one-parameter family of spheres. In this
paper, we give a parametric representation of a timelike directional canal surface in the …