Smarandache Curves of the Evolute Curve According to Sabban Frame

Abstract

The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves. Finally, the results are expressed depending on the involute curve.

Keywords

• darboux vector
• involute curve
• evolute curve
• geodesic curvature
• sabban frame
• smarandache curves