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Journals / Turkish Journal of Science / 2026 / Cilt: 7 Sayı: 2

Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E4

Mustafa Altın(BİNGÖL ÜNİVERSİTESİ, BİNGÖL TEKNİK BİLİMLER MESLEK YÜKSEKOKULU)0000-0001-5544-5910
Ahmet Kazan(MALATYA TURGUT ÖZAL ÜNİVERSİTESİ)0000-0002-1959-6102
Pages
75–84
Publication Date
2022-09-30
DOI
—
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AI Summary & Key Takeaways

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

Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this chapter, we study tubular hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space.
📊
Key Findings & Data:We obtain the Gaussian and mean curvatures of tubular hypersurfaces according to extended Darboux frame field of first kind and give some results for them.
💡
Conclusion & Impact:Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Tubular hypersurface · Extended Darboux frame field of First Kind · Linear Weingarten hypersurface

Abstract

In this chapter, we study tubular hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space. We obtain the Gaussian and mean curvatures of tubular hypersurfaces according to extended Darboux frame field of first kind and give some results for them. Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.

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Cite This Article

Altın, M., Kazan, A. (2022). Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E4. Turkish Journal of Science, Cilt: 7 Sayı: 2, 75–84. https://ajindex.com/articles/1557511

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