3 papers
math.GM2021
Smarandache Ruled Surfaces According to Bishop Frame in E3
Süleyman Şenyurt, Davut Canli, Kebire Hilal Ayvaci
This paper introduces new ruled surfaces according to Bishop frame by referring to the main idea of Smarandache geometry. The fundamental forms and the corresponding curvatures are…
math.GM2021
Associated Curves in from a Different Point of View
Süleyman Şenyurt, Davut Canli, Kebire Hilal Ayvaci
In this paper, tangent-, principal normal-, and binormal-wise associated curves are defined such that each of these vectors of any given curve lies on the osculating, normal, and r…
math.DG2021
On Harmonicity and Differential Equations of a Bertrand Curve
Süleyman Şenyurt, Osman Çakır
In the present paper, we give new Frenet formulas for the Bertrand partner curve by taking the advantage of relations between curvatures and a curve itself. Then making use of thes…