- Communications in Advanced Mathematical Sciences
- Vol: 3 Issue: 1
- Smarandache Curves of the Evolute Curve According to Sabban Frame
Smarandache Curves of the Evolute Curve According to Sabban Frame
Authors : Süleyman Şenyurt, Yasin Altun
Pages : 1-8
Doi:10.33434/cams.594690
View : 12 | Download : 8
Publication Date : 2020-03-25
Article Type : Research
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