Some Characterizations of Spherical Indicatrix Curves Generated by Flc Frame

Authors : Kebire Hilal AYVACI, Süleyman ŞENYURT, Davut CANLI

Pages : 379-387

Doi:10.47000/tjmcs.969243

View : 18 | Download : 11

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :In this study, the spherical indicatrices of Flc frame vectors were defined on unit sphere. The arc length parameters and the Frenet vectors of these indicatrix curves were calculated, as well. Last, we have provided the geodesic curvatures according to both Euclidean space $E^3$ and unit sphere $S^2$.
Keywords : Polynomial curves, Flc frame, Spherical indicatrix, Geodesic curvature