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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 4

Characterizations of a helicoid and a catenoid

Zuhal Kucukarslan Yuzbasi(FIRAT UNIVERSITY)0000-0001-7630-5490
Dae Won Yoon(Gyeongsang National University)0000-0001-8620-0676
Pages
—
Publication Date
2022-08-01
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AI Summary & Key Takeaways

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

Finally we show some examples of minimal surfaces generated by a circle and a helix.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface.
📊
Key Findings & Data:As a result, we give characterizations of a helicoid and a catenoid.
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Conclusion & Impact:Finally we show some examples of minimal surfaces generated by a circle and a helix.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:minimal surface · catenoid · helicoid

Abstract

In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples of minimal surfaces generated by a circle and a helix.

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Cite This Article

Yuzbasi, Z. K., Yoon, D. W. (2022). Characterizations of a helicoid and a catenoid. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 4. https://doi.org/10.15672/hujms.881876

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