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

Authors : Beyhan YILMAZ, İsmail GÖK, Yusuf YAYLI

Pages : 8-15

Doi:10.33187/jmsm.1007857

View : 14 | Download : 6

Publication Date : 2022-04-30

Article Type : Research Paper

Abstract :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 $n=3$.
Keywords : Focal curve, Harmonic curvature, Rectifying curve