- Konuralp Journal of Mathematics
- Vol: 11 Issue: 1
- The Characterizations of The Curve Generated by a Curve with Constant Torsion
The Characterizations of The Curve Generated by a Curve with Constant Torsion
Authors : Nural Yüksel, Burçin Saltik, Murat Kemal Karacan
Pages : 1-7
View : 23 | Download : 6
Publication Date : 2023-04-30
Article Type : Research
Abstract :In this article, a curve generated by the curve which has a constant torsion is examined in 3-dimensional Euclidean space. And, the characterizations of this curve have been made and some important theorems have been given. It is seen that the $\\overline{\\alpha}$ is a curve with constant curvature and the relationships between the two curves $\\alpha$ and $\\overline{\\alpha}$ are revealed. In addition, the conditions for this obtained curve to be helix, slant helix, Bertrand and Salkowski curves are given.Keywords : constant torsion, Salkowski curve, Bertrand curve, slant helix