In this paper, we focus on a developable surface tangent to a timelike surface along a curve
in Minkowski 3-space, which is called the osculating developable surface of the timelike …

In this study, we investigate the cases of a linearly polarized light wave along an optical fiber
which is accepted as a singular curve on S 2 and the rotation of the polarization planes …

We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike
regular curves in Minkowski 3-space. Then we establish the relationships among the …

In this paper, we study the surfaces of osculating circles, which are the sets of all osculating
circles at all points of regular curves. Since the surfaces of osculating circles may be …

In this work, we introduce a Berry phase model which is very important in physics relative to
the frontals in de-Sitter 2-space. With this approach, we examine the relationship between a …

We introduce null surfaces (or nullcone fronts) of pseudo-spherical spacelike framed curves
in the three-dimensional anti-de Sitter space. These surfaces are formed by the light rays …

In this paper, we intend to bring together the hyperbolic spinors, which are useful
frameworks from mathematics to physics, and both spacelike and timelike framed curves in …

In this paper, first we obtain the conditions for the existence and uniqueness of non-null
framed curves as well as non-null framed surfaces in Minkowski $3 $-space. Further, we …

In Minkowski 3-space, spacelike curves, which are among the various types of curves, may
exhibit singularities. In [6], the notion of the framed curve has been extended to Minkowski 3 …

In this paper, we first define the pseudo-circular evolute of a lightcone framed curve in the
Lorentz–Minkowski 3-space, and show that the pseudo-circular evolute of a lightcone …