Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2021 / Cilt: 21 Sayı: 6

Energies with Constant Mean Curvature of Tubular Surfaces by Bishop Frame

Sabit Ortalama Eğrilikli Bishop Çatılı Tubular Yüzeylerin Enerjileri

Filiz Ertem Kaya(NİĞDE ÖMER HALİSDEMİR ÜNİVERSİTESİ)0000-0003-1538-9154
Pages
1324–1329
Publication Date
2021-12-31
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AI Summary & Key Takeaways

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

Even though these calculations are very important to prove that the curvatures are very important in differential geometry, in actually these calculations are clearly important as mathematical physics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper Euclidean metric induced by μ : M → G be the mean curvature of Tubular surfaces by Bishop frame are computed and the curvatures in differential geometry that are so important for computing the Helfrich and Willmore energy of the tubular surfaces by bishop frame and giving some theorems are seen.
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Key Findings & Data:In this paper Euclidean metric induced by μ : M → G be the mean curvature of Tubular surfaces by Bishop frame are computed and the curvatures in differential geometry that are so important for computing the Helfrich and Willmore energy of the tubular surfaces by bishop frame and giving some theorems are seen.
💡
Conclusion & Impact:Even though these calculations are very important to prove that the curvatures are very important in differential geometry, in actually these calculations are clearly important as mathematical physics.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Tubular yüzeyler · Eğrilikler · Bishop çatısı

Abstract

In this paper Euclidean metric induced by μ : M → G be the mean curvature of Tubular surfaces by Bishop frame are computed and the curvatures in differential geometry that are so important for computing the Helfrich and Willmore energy of the tubular surfaces by bishop frame and giving some theorems are seen. Even though these calculations are very important to prove that the curvatures are very important in differential geometry, in actually these calculations are clearly important as mathematical physics.

Özet

Bu makalede μ : M → G Öklid metrikli Bishop çatılı Tubular yüzeylerin Helfrich ve Willmore enerjileri hesaplandı and Bishop çatılı Tubular yüzeylerin Helfrich ve Willmore enerjilerinin bulunmasında ve bazı teoremlerin verilmesinde diferensiyel geometrideki eğriliklerinin ne denli önemli olduğu görüldü. Bu hesaplamalar her ne kadar diferensiyel geometri için eğriliklerin önemli olduğunu ispatlasa da de aslında bu hesaplamalar matematiksel fizik için de önem arz etmektedir.

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Cite This Article

Kaya, F. E. (2021). Energies with Constant Mean Curvature of Tubular Surfaces by Bishop Frame. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 21 Sayı: 6, 1324–1329. https://doi.org/10.35414/akufemubid.977234

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References (10)

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