In this study, we introduce partner ruled surfaces according to the Flc frame that is defined
on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to …

In this study we first define the tubular involutive surfaces as a new surface form. We then
investigate singularity, Gaussian curvature and mean curvatures of the tubular involutive …

Purpose Frames play an important role in determining the geometric properties of the curves
such as curvature and torsion. In particular, the determination of the point types of the curve …

It is well known that the binormal and normal vectors of Frenet frame rotate around the
tangent vector. That is why the Frenet frame is not suitable for some applications such as …

In this study, the spherical indicatrices of Flc frame vectors were defined on unit sphere. The
arc length parameters and the Frenet vectors of these indicatrix curves were calculated, as …

In this paper, we present the evolutions of the ruled surfaces constructed by the tangent,
normal-like, and binormal-like vector fields of a polynomial space curve. These evolutions of …

In this study, firstly, tube surfaces given with Flc frame are introduced. The Gaussian and
mean curvature of these surfaces were found and their singular points were determined. By …

The main goal of this study is to bring together the spinors, which have a major place in
several disciplines from mathematics to physics, and Positional Adapted Frame (PAF) which …

In this study, we consider the concept of Mannheim partner trajectories related to the
Positional Adapted Frame on Regular Surfaces (PAFORS) for the particles moving on the …

The paper investigates some special Smarandache curves according to Flc-frame in
Euclidean 3-space. The Frenet and Flc frame vectors, curvature and torsion of the new …