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Journals / Kocaeli Journal of Science and Engineering / 2026 / Cilt: 1 Sayı: 1

A Characterization of Factorable Surfaces in Euclidean 4-Space E^4

Sezgin Büyükkütük(KOCAELİ ÜNİVERSİTESİ)0000-0002-1845-0822
Günay Öztürk(KOCAELİ ÜNİVERSİTESİ)
Pages
15–20
Publication Date
2018-05-31
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AI Summary & Key Takeaways

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

Further, we give the necessary and sufficient condition of the factorable surface to become Wintgen ideal surface.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider a factorable surface in Euclidean E^4 with its curvature ellipse.
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Key Findings & Data:We classify the origin of the normal space of such a surface according to whether it is hyperbolic, parabolic, or elliptic.
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Conclusion & Impact:Further, we give the necessary and sufficient condition of the factorable surface to become Wintgen ideal surface.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Curvature ellipse · Factorable surface · Gaussian curvature

Abstract

In this paper, we consider a factorable surface in Euclidean E^4 with its curvature ellipse. We classify the origin of the normal space of such a surface according to whether it is hyperbolic, parabolic, or elliptic. Further, we give the necessary and sufficient condition of the factorable surface to become Wintgen ideal surface.

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Cite This Article

Büyükkütük, S., Öztürk, G. (2018). A Characterization of Factorable Surfaces in Euclidean 4-Space E^4. Kocaeli Journal of Science and Engineering, Cilt: 1 Sayı: 1, 15–20. https://doi.org/10.34088/kojose.403665

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