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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 2

A generalization for surfaces using a line of curvature in Lie group

Dae Won Yoon(Gyeongsang National University)0000-0001-8620-0676
Zuhal Kucukarslan Yuzbasi(FIRAT UNIVERSITY)0000-0001-7630-5490
Pages
—
Publication Date
2021-04-11
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AI Summary & Key Takeaways

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

After then, we provide some crucial examples of how efficient our method is on these surfaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group.
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Key Findings & Data:Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions.
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Conclusion & Impact:After then, we provide some crucial examples of how efficient our method is on these surfaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Surface family · Lie Group · Line of curvature

Abstract

In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group. Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions. After then, we provide some crucial examples of how efficient our method is on these surfaces.

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Cite This Article

Yoon, D. W., Yuzbasi, Z. K. (2021). A generalization for surfaces using a line of curvature in Lie group. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 2. https://doi.org/10.15672/hujms.664764

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