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Journals / Sakarya University Journal of Science / 2026 / Volume: 23 Issue: 5

A new type of canal surface in Euclidean 4-space E^4

İlim Kişi(KOCAELİ ÜNİVERSİTESİ)0000-0002-4785-8165
Günay Öztürk(İZMİR DEMOKRASİ ÜNİVERSİTESİ)0000-0002-1608-0354
Kadri Arslan(ULUDAĞ ÜNİVERSİTESİ)0000-0002-1440-7050
Pages
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Publication Date
2019-10-01
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AI Summary & Key Takeaways

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

Son olarak, bu tipteki yüzeylerin farklı yarıçap fonksiyonları için E^3 uzayındaki izdüşümlerini çizdirdik.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik.
📊
Key Findings & Data:Bu yüzeyin eğrilik özelliklerini paralel öteleme çatısına göre eğrilik fonksiyonları cinsinden araştırdık.
💡
Conclusion & Impact:Son olarak, bu tipteki yüzeylerin farklı yarıçap fonksiyonları için E^3 uzayındaki izdüşümlerini çizdirdik.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gaussian curvature · mean curvature · parallel transport frame

Abstract

Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik. Bu yüzeyin eğrilik özelliklerini paralel öteleme çatısına göre eğrilik fonksiyonları cinsinden araştırdık. Daha sonra, Weingarten tipindeki kanal ve tüp yüzeyleri hakkında bazı sonuçlar verdik. Son olarak, bu tipteki yüzeylerin farklı yarıçap fonksiyonları için E^3 uzayındaki izdüşümlerini çizdirdik.

🔖

Cite This Article

Kişi, İ., Öztürk, G., Arslan, K. (2019). A new type of canal surface in Euclidean 4-space E^4. Sakarya University Journal of Science, Volume: 23 Issue: 5. https://doi.org/10.16984/saufenbilder.524471

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