In this paper, we first introduce N-Bishop frame for a normal direction curve which is defined
as an integral curve of the principal normal of a curve. We express this new frame and its …

The aim of this study is to give spinor representation of successive curves in three-
dimensional Euclidean space. In three dimensional Euclidean Space, the spinor …

In this paper, we study to express the theory of curves including a wide section of Lorentzian
geometry in terms of spinors with two hyperbolic components which has an important place …

Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined
as elements of a vector space which carries a linear representation of the Clifford algebra …

In this paper, we have obtained spinor with two complex components representations of
Involute Evolute curves in E^3. Firstly, we have given the spinor equations of Frenet vectors …

Spinors permeate all of modern physics and have also an important place in mathematics.
Spinors are used intensively in modern theoretical physics and differential geometry. In this …

In this paper, spinors which consists of two hyperbolic components are introduced and
hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is …

In this paper, we study on spinors with two hyperbolic components. Firstly, we express the
hyperbolic spinor representation of a spacelike curve dened on an oriented (spacelike or …

In this study, we intend to examine the framed Bertrand curves in three-dimensional
Euclidean space E3 by using the spinors, which have a fundamental place and importance …

In this paper, we introduce a new frame which is called the B‐Darboux frame on a surface in
Euclidean 3‐space. We know that the parallel transport frame is derived from the Frenet …