Smarandache Curves According to Flc-frame in Euclidean 3-space

Year 2023, Volume: 4 Issue: 1, 16 - 30, 31.01.2023

Süleyman Şenyurt , Kebire Hilal Ayvacı , Davut Canlı

https://doi.org/10.54974/fcmathsci.1142404

Cited By: 3

Abstract

The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. The Frenet and Flc frame vectors, curvature and torsion of the new constructed curves are expressed by means of the initial curve invariants. For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.

Keywords

Flc-frame, natural curvatures, polynomial curves, Smarandache curves.

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