Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E3 1

Author

Mathematics Department, Faculty of Science Tanta University, Tanta, Egypt

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