Salkowski Curves and Their Modified Orthogonal Frames in $\mathbb{E}^{3}$

Yıl 2022, Sayı: 40, 12 - 26, 30.09.2022

Sümeyye Gür Mazlum , Süleyman Şenyurt , Mehmet Bektaş

https://doi.org/10.53570/jnt.1140546

Cited By: 6

Öz

In this study, we examine some properties of Salkowski curves in $\mathbb{E}^{3}$. We then make sense of the angle $(nt)$ in the parametric equation of the Salkowski curves. We provide the relationship between this angle and the angle between the binormal vector and the Darboux vector of the Salkowski curves. Through this angle, we obtain the unit vector in the direction of the Darboux vector of the curve. Finally, we calculate the modified orthogonal frames with both the curvature and the torsion and give the relationships between the Frenet frame and the modified orthogonal frames of the curve.

Anahtar Kelimeler

Salkowski curve, modified orthogonal frame, Frenet frame

Kaynakça

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