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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 11 Issue: 1

The Characterizations of The Curve Generated by a Curve with Constant Torsion

Nural Yüksel(ERCİYES ÜNİVERSİTESİ, FEN FAKÜLTESİ)
Burçin Saltık(ERCIYES UNIVERSITY)0000-0001-5174-6484
Murat Kemal Karacan(USAK UNIVERSITY)0000-0002-2832-9444
Pages
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Publication Date
2023-04-30
DOI
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AI Summary & Key Takeaways

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

In addition, the conditions for this obtained curve to be helix, slant helix, Bertrand and Salkowski curves are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, a curve generated by the curve which has a constant torsion is examined in 3-dimensional Euclidean space.
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Key Findings & Data:And, the characterizations of this curve have been made and some important theorems have been given.
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Conclusion & Impact:In addition, the conditions for this obtained curve to be helix, slant helix, Bertrand and Salkowski curves are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:constant torsion · Salkowski curve · Bertrand curve

Abstract

In this article, a curve generated by the curve which has a constant torsion is examined in 3-dimensional Euclidean space. And, the characterizations of this curve have been made and some important theorems have been given. It is seen that the $\overline{\alpha}$ is a curve with constant curvature and the relationships between the two curves $\alpha$ and $\overline{\alpha}$ are revealed. In addition, the conditions for this obtained curve to be helix, slant helix, Bertrand and Salkowski curves are given.

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Cite This Article

Yüksel, N., Saltık, B., Karacan, M. K. (2023). The Characterizations of The Curve Generated by a Curve with Constant Torsion. Konuralp Journal of Mathematics, Volume: 11 Issue: 1. https://ajindex.com/articles/1521523

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References (12)

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