Spinor Bishop Equations of Curves in Euclidean 3-Space

TL;DR

This paper explores the spinor formulations of curves in three-dimensional Euclidean space using Bishop frames, establishing their relation to the classical Frenet frame to deepen understanding of curve representations.

Contribution

It introduces the spinor Bishop equations in E^3 and relates them to the Frenet frame, providing a novel perspective on curve descriptions in differential geometry.

Findings

Derived spinor Bishop equations in Euclidean 3-space

Established the relation between spinor Bishop and Frenet frames

Enhanced understanding of curve representations using spinor formulations

Abstract

In this paper, we study spinor Bishop equations of curves in E^3. We research the spinor formulations of curves according to Bishop frames in E^3. Also, the relation between spinor formulations of Bishop frames and Frenet frame are expressed.