On Flc-Focal Curves According Flc-Frame
Thiago Mendonca *
Departamento de Matematica, UFRPE, Rua Manoel de Medeiros, s/n - Dois Irmaos, Recife - PE, 52171 - 900, Brazil.
*Author to whom correspondence should be addressed.
Abstract
In this study, we first characterize focal curves by examining the FLC-frame in three-dimensional Euclidean space. We then derive the relationship between the curvatures of a curve and the focal curvatures. Finally, we present some new conditions for curves with constant curvatures in \(\mathbb{E}^3\).
Keywords: Flc-frame, focal curve, focal curvatures