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Journals / International Journal of Innovative Engineering Applications / 2022 / Cilt: 6 - Sayı: 2

Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group

Lie Grubunda Bir Eğri Boyunca Sabit Gauss Eğrilikli Yüzeyler Üzeine Notlar

Zuhal KUCUKARSLAN YUZBASİ
Gamze KÖSE ŞAHİN
Pages
272–275
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

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

In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.
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Key Findings & Data:In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.
💡
Conclusion & Impact:In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gauss eğriliği · Lie grup · Yüzeyler.

Abstract

In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.

Özet

Bu çalışmada, 3-boyutlu Lie grupta verilen eğrinin Frenet çatısının lineer kombinasyonuna göre verilen bir eğri boyunca sabit Gauss eğriliğine sahip yüzeyleri bulmak için yeterli koşullar üretilmiş ve örnekler oluşturulmuştur.

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Cite This Article

YUZBASİ, Z. K., ŞAHİN, G. K. (2022). Notes on Surfaces with Constant Gauss Curvature along a Curve in the Lie Group. International Journal of Innovative Engineering Applications, Cilt: 6 - Sayı: 2, 272–275. https://ajindex.com/articles/860009

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