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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 42 Issue: 1

Characterizations of tzitzeica curves using FLC frame

Süleyman Şenyurt(Department of Mathematics, Faculty of Arts and Science, Ordu University, Ordu, 52200, Türkiye)0000-0003-1097-5541
Kemal Eren(Department of Mathematics, Faculty of Arts and Science, Sakarya University, Sakarya, 54050, Türkiye)0000-0001-5273-7897
Kebire Hilal Ayvacı(Department of Mathematics, Faculty of Arts and Science, Ordu University, Ordu, 52200, Türkiye)0000-0002-5114-5475
Pages
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Publication Date
2024-02-27
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:We also show that any planar polynomial curve cannot be a Tzitzeica curve.
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Conclusion & Impact:Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Polynomial Curves · Tzitzeica Curve · FLC Frame

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.

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Cite This Article

Şenyurt, S., Eren, K., Ayvacı, K. H. (2024). Characterizations of tzitzeica curves using FLC frame. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 42 Issue: 1. https://ajindex.com/articles/1344558

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