Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$

Yıl 2022, Cilt: 5 Sayı: 1, 8 - 15, 30.04.2022

Beyhan Yılmaz , İsmail Gök , Yusuf Yaylı

https://doi.org/10.33187/jmsm.1007857

Öz

In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures and some relations between rectifying curves and focal curves are found in terms of their harmonic curvature functions in $n-$dimensional Euclidean space. Then, a rectifying Salkowski curve, which is the focal curve of a given space curve is investigated. Finally, some figures related to the theory are given in the case $n=3$.

Anahtar Kelimeler

Focal curve, Harmonic curvature, Rectifying curve.

Kaynakça

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