Spinor Representations of Involute Evolute Curves in E^3

Abstract

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

Keywords

• Involute Evolute Curves,Spinors

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