Spinor Representations of Involute Evolute Curves in $E^3$

Abstract

In this paper, we have obtained spinor with two complex components representations ofInvolute Evolute curves in $E^3$. Firstly, we have given the spinor equations of Frenet vectorsof two curves which are parameterized by arc-length and have an arbitrary parameter.Moreover, we have chosen that these curves are Involute Evolute curves and have matchedthese curves with different spinors. Then, we have investigated the answer of question”How are the relationships between the spinors corresponding to the Involute Evolute curvesin $E^3$?”. Finally, we have given an example which crosscheck to theorems throughout thisstudy