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Journals / Karadeniz Fen Bilimleri Dergisi / 2022 / Cilt: 12 - Sayı: 1

Characterizations of The Ruled Surfaces due to N-Bishop Frame

N-Bishop Çatısına Göre Regle Yüzeylerin Bazı Karakterizasyonları

Hatice KUŞAK SAMANCI
Mustafa SEVİNÇ
Pages
113–134
Publication Date
2022-10-19
DOI
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AI Summary & Key Takeaways

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

At the end of the work, various examples were presented related to this new ruled surface.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a new ruled surface was defined by using the elements of the N-Bishop frame as a directed vector and the integral curve of the principal normal as a base curve.
📊
Key Findings & Data:Then, the differential geometric properties of this new ruled surface such as distribution parameter, striction curve, Gaussian and mean curvature were examined.
💡
Conclusion & Impact:At the end of the work, various examples were presented related to this new ruled surface.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Regle yüzeyleri · Serret-Frenet çatısı · N-Bishop çatısı.

Abstract

In this study, a new ruled surface was defined by using the elements of the N-Bishop frame as a directed vector and the integral curve of the principal normal as a base curve. Then, the differential geometric properties of this new ruled surface such as distribution parameter, striction curve, Gaussian and mean curvature were examined. At the end of the work, various examples were presented related to this new ruled surface.

Özet

Bu çalışmada, doğrultmanı N-Bishop çatısının elemanlarından ve dayanak eğrisi ise asli normalinin integral eğrisinden oluşan yeni bir regle yüzey tanımlaması yapılmıştır. Daha sonra, tanımlanan bu yeni regle yüzeyin dağılma parametresi, sitriksiyon çizgisi, Gauss ve ortalama eğriliği gibi diferansiyel geometrik özellikleri incelenmiştir. Çalışmanın sonunda ise bu yeni regle yüzey ile ilgili çeşitli örnekler verilmiştir.

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Cite This Article

SAMANCI, H. K., SEVİNÇ, M. (2022). Characterizations of The Ruled Surfaces due to N-Bishop Frame. Karadeniz Fen Bilimleri Dergisi, Cilt: 12 - Sayı: 1, 113–134. https://ajindex.com/articles/570354

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