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Journals / Konuralp Journal of Mathematics / 2022 / Cilt: 10 - Sayı: 2

Characterization of Tzitzeica Curves Using Positional Adapted Frame

Kahraman Esen ÖZEN
Zehra İŞBİLİR
Murat TOSUN
Pages
260–268
Publication Date
2022-10-31
DOI
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AI Summary & Key Takeaways

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

It is expected that these results will be useful in various application areas of differential geometry and applied mathematics in the future.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, Tzitz\'eica curves are taken into consideration in the Euclidean 3-space by using the Positional Adapted Frame (PAF).
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Key Findings & Data:Such curves are characterized according to PAF elements.
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Conclusion & Impact:It is expected that these results will be useful in various application areas of differential geometry and applied mathematics in the future.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kinematics of a particle · Positional Adapted Frame · Tzitz\

Abstract

In this study, Tzitz\'eica curves are taken into consideration in the Euclidean 3-space by using the Positional Adapted Frame (PAF). Such curves are characterized according to PAF elements. Also, some results are obtained on spherical Tzitz\'eica curves. The results obtained in this study are new contributions to the field. It is expected that these results will be useful in various application areas of differential geometry and applied mathematics in the future.

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Cite This Article

ÖZEN, K. E., İŞBİLİR, Z., TOSUN, M. (2022). Characterization of Tzitzeica Curves Using Positional Adapted Frame. Konuralp Journal of Mathematics, Cilt: 10 - Sayı: 2, 260–268. https://ajindex.com/articles/786326

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