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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 9 - Sayı: 1

The Hasimoto Surface According to Bishop Frame

Bishop Çatısı ile İlişkilendirilmiş Hasimoto Yüzeyleri

Mahmut ERGÜT
Mehmet BEKTAŞ
Alev KELLECİ
Pages
13–22
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

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

Firstly,we investigate the geometric properties of these surfaces in Euclidean 3-space.Especially, we obtain the curvatures of Hasimoto surface according to Bishop frame.Then we give some characterization of parameter curves obtained according to Bishopframe of Hasimoto surfaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate the Hasimoto surfaces in Euclidean 3- space.
📊
Key Findings & Data:In this paper, we investigate the Hasimoto surfaces in Euclidean 3- space.
💡
Conclusion & Impact:Firstly,we investigate the geometric properties of these surfaces in Euclidean 3-space.Especially, we obtain the curvatures of Hasimoto surface according to Bishop frame.Then we give some characterization of parameter curves obtained according to Bishopframe of Hasimoto surfaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate the Hasimoto surfaces in Euclidean 3- space. Firstly,we investigate the geometric properties of these surfaces in Euclidean 3-space.Especially, we obtain the curvatures of Hasimoto surface according to Bishop frame.Then we give some characterization of parameter curves obtained according to Bishopframe of Hasimoto surfaces.

Özet

Bu çalışmada Öklidyen 3-uzayındaki Hasimoto yüzeyleri incelenmiştir. İlk olarak, Öklidyen 3-uzayındaki Hasimoto yüzeylerinin geometrik özellikleri incelenmiştir. Özellikle Bishop çatısı ile ilişkilendirilmiş bu yüzeylerin eğrilikleri elde edilmiştir. Daha sonrasında bu yüzeylerin Bishop çatısına göre parametre eğrilerinin bazı karakterizasyonları verilmiştir.

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Cite This Article

ERGÜT, M., BEKTAŞ, M., KELLECİ, A. (2022). The Hasimoto Surface According to Bishop Frame. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 9 - Sayı: 1, 13–22. https://ajindex.com/articles/428477

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References (10)

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