Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E 1 3 $E_{1}^{3}$

Abstract

Abstract Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform principal normal vector N. Furthermore, the equiform frames of the involute and evolute curves are obtained. Also, the equiform curvatures of the involute and evolute curves are obtained in Minkowski 3-space.

Keywords

• Minkowski 3-space
• Involute
• Evolute
• Equiform geometry
• Equiform curvatures