Smarandache curves for spherical indicatrix of the Bertrand curves pair

Süleyman Şenyurt; Yasin Altun; Ceyda Cevahir

doi:10.5269/bspm.v38i2.33899

Smarandache curves for spherical indicatrix of the Bertrand curves pair

Süleyman Şenyurt Ordu University Institute of Technology Department of Mathematics
Yasin Altun Ordu University Institute of Technology Department of Mathematics
Ceyda Cevahir Ordu University Institute of Technology Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i2.33899

Keywords: Bertrand curves pair, Smarandache curve, Sabban frame, Geodesic curvature

Abstract

In this paper, we investigate special Smarandache curves with regard to Sabban frame for Bertrand partner curve spherical indicatrix. Some results have been obtained. These results were expressed depending on the Bertrand curve. Besides, we are given examples of our results.