Some Characterizations of Spherical Indicatrix Curves Generated by Flc Frame

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

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