Characterizations of tzitzeica curves using FLC frame

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 indi...

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Veröffentlicht in:Sigma (Istanbul, Turkey) Turkey), 2024-02, Vol.42 (1), p.37-41
1. Verfasser: ŞENYURT, Süleyman
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1304-7205
1304-7191
1304-7205
DOI:10.14744/sigma.2024.00005