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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

Bour's theorem on the Gauss map in 3-Euclidean space

Yusuf YAYLI
H. Hilmi HACISALİHOĞLU
Erhan GÜLER
Pages
515–525
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

In addition, Bour’s theorem on the Gauss map, and some special examples are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper some relations are established between the Laplace- Beltrami operator and the curvatures of helicoidal surfaces in 3- Euclidean space.
📊
Key Findings & Data:In this paper some relations are established between the Laplace- Beltrami operator and the curvatures of helicoidal surfaces in 3- Euclidean space.
💡
Conclusion & Impact:In addition, Bour’s theorem on the Gauss map, and some special examples are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper some relations are established between the Laplace- Beltrami operator and the curvatures of helicoidal surfaces in 3- Euclidean space. In addition, Bour’s theorem on the Gauss map, and some special examples are given.

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Cite This Article

YAYLI, Y., HACISALİHOĞLU, H. H., GÜLER, E. (2022). Bour's theorem on the Gauss map in 3-Euclidean space. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 515–525. https://ajindex.com/articles/530641

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References (8)

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