Characterizations of tzitzeica curves using FLC frame

Year 2024, Volume: 42 Issue: 1, 37 - 41, 27.02.2024

Süleyman Şenyurt , Kemal Eren , Kebire Hilal Ayvacı

Abstract

In this study, we investigate the condition that a given polynomial curve with respect to the Frenet like curve (Flc) frame is a Tzitzeica curve. We also show that any planar polynomial curve cannot be a Tzitzeica curve. Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.

Keywords

Polynomial Curves, Tzitzeica Curve, FLC Frame, Spherical Indicatrix

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