The Spinor Representations of Framed Bertrand Curves

Abstract

In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space $\mathbb{E}^3$ by using the spinors, which have a  fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in $\mathbb{E}^3$. Additionally, some geometric results and interpretations are presented. Then, we construct a numerical example with illustrative figures in order to support the given materials.