Spinor Q-Equations in Lorentzian 3-space 𝔼�𝟏� 𝟑�

Abstract

In this paper, hyperbolic spinor representations of space curves are studied according to the q-frame in 𝔼�1 3. The spinor formulations of curves are calculated for the q-frame according to the spacelike and timelike tangent vector cases of the curves in 𝔼�1 3. Moreover, the relationships of spinor equations between q-frame and Frenet frame in Lorentz space are expressed. The results are supported with some theorems.