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


How to Cite

Mendonca, Thiago. 2024. “On Flc-Focal Curves According Flc-Frame”. Asian Research Journal of Mathematics 20 (9):76-80. https://doi.org/10.9734/arjom/2024/v20i9831.