Special equiform Smarandache curves in Minkowski space-time

Abstract

In this paper, we introduce special equiform Smarandache curves reference to the equiform Frenet frame of a curve ζ on a spacelike surface M in Minkowski 3-space E3
1. Also, we study the equiform Frenet invariants of the spacial equiform Smarandache curves in E3
1. Moreover, we give some properties to these curves when the curve ζ has constant curvature or it is a circular helix. Finally, we give an example to illustrate these curves.