Characterizations of tzitzeica curves using FLC frame

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:1
Characterizations of tzitzeica curves using FLC frame

Characterizations of tzitzeica curves using FLC frame

Authors : Süleyman Şenyurt, Kemal Eren, Kebire Hilal Ayvacı

Pages : 37-41

View : 48 | Download : 60

Publication Date : 2024-02-27

Article Type : Research Paper

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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