The Characterizations of The Curve Generated by a Curve with Constant Torsion

Yıl 2023, Cilt: 11 Sayı: 1, 1 - 7, 30.04.2023

Nural Yüksel , Burçin Saltık , Murat Kemal Karacan

Öz

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.

Anahtar Kelimeler

constant torsion, Salkowski curve, Bertrand curve, slant helix

Kaynakça

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