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Journals / Cumhuriyet Science Journal / 2022 / Cilt: 43 Sayı: 1

Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group

Zuhal KUCUKARSLAN YUZBASİ
Pages
77–81
Publication Date
2022-03-30
DOI
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AI Summary & Key Takeaways

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

Finally, we will give some examples to show some applications of the method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve.
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Key Findings & Data:We also derive the relation about developability along the common geodesic of a ruled surface as a member of the surface family.
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Conclusion & Impact:Finally, we will give some examples to show some applications of the method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Alternative Moving Frame · Lie Group · Geodesic

Abstract

Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve. We also derive the relation about developability along the common geodesic of a ruled surface as a member of the surface family. Finally, we will give some examples to show some applications of the method.

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Cite This Article

YUZBASİ, Z. K. (2022). Surfaces Using a Common Geodesic Curve With an Alternative Moving Frame in The 3-Dimensional Lie Group. Cumhuriyet Science Journal, Cilt: 43 Sayı: 1, 77–81. https://ajindex.com/articles/960291

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