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Journals / Natural and Applied Sciences Journal / 2026 / Cilt: 9 Sayı: 1

Affine Factorable Surfaces in Euclidean 4-space

4-boyutlu Öklid Uzayında Afin Çarpanlara Ayrılabilir Yüzeyler

Betül Bulca Sokur(Bursa Uludağ Üniversitesi)0000-0001-5861-0184
Emine Koparal(Bursa Uludağ Üniversitesi)0009-0008-8297-8892
Pages
13–26
Publication Date
2026-06-30
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AI Summary & Key Takeaways

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

Further, the classification of surfaces with flat and minimal affine factorable surfaces was given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the affine factorable surfaces in Euclidean 4-space were defined.
📊
Key Findings & Data:We have obtained the Gaussian and mean curvature of the affine factorable surfaces in .
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Conclusion & Impact:Further, the classification of surfaces with flat and minimal affine factorable surfaces was given.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Çarpanlara ayrılabilir yüzey · Afin çarpanlara ayrılabilir yüzey · Gauss eğriliği

Abstract

In this study, the affine factorable surfaces in Euclidean 4-space were defined. We have obtained the Gaussian and mean curvature of the affine factorable surfaces in . Further, the classification of surfaces with flat and minimal affine factorable surfaces was given.

Özet

Bu çalışmada 4-boyutlu Öklid uzayında afin çarpanlara ayrılabilir yüzeyler tanımlanmıştır. E^4 de afin çarpanlara ayrılabilir yüzeylerin Gauss ve ortalama eğrilikleri elde edilmiştir. Afin çarpanlara ayrılabilir yüzeylerin düz ve minimal olma durumları sınıflandırılmıştır.

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Cite This Article

Sokur, B. B., Koparal, E. (2026). Affine Factorable Surfaces in Euclidean 4-space. Natural and Applied Sciences Journal, Cilt: 9 Sayı: 1, 13–26. https://doi.org/10.38061/idunas.1825403

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