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Journals / Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi / 2017 / Cilt: 19 - Sayı: 57

Frenet Frames and Frenet Invariants of Spacelike Ruled Surfaces

Spacelike Regle Yüzeylerin Frenet Çatıları ve Frenet İnvaryantları

Mehmet ÖNDER
Hasan Huseyın UGURLU
Pages
712–722
DOI
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AI Summary & Key Takeaways

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

We show that a spacelike ruled surface and its directing cone have the same Frenet frame.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we introduce the Chasles theorem for spacelike ruled surfaces and give the Frenet frames and invariants of a spacelike ruled surface and of its directing cone.
📊
Key Findings & Data:In this study, we introduce the Chasles theorem for spacelike ruled surfaces and give the Frenet frames and invariants of a spacelike ruled surface and of its directing cone.
💡
Conclusion & Impact:We show that a spacelike ruled surface and its directing cone have the same Frenet frame.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we introduce the Chasles theorem for spacelike ruled surfaces and give the Frenet frames and invariants of a spacelike ruled surface and of its directing cone. We show that a spacelike ruled surface and its directing cone have the same Frenet frame.

Özet

Bu çalışmada spacelike regle yüzeyler için Chasles teoremi sunulmuş ve bir spacelike regle yüzey ile bu yüzeyin yönlü konisinin Frenet çatıları ve invaryantları verilmiştir. Bir spacelike regle yüzey ile bu yüzeyin yönlü konisinin aynı Frenet çatısına sahip olduğu gösterilmiştir.

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Cite This Article

ÖNDER, M., UGURLU, H. H. (2017). Frenet Frames and Frenet Invariants of Spacelike Ruled Surfaces. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, Cilt: 19 - Sayı: 57, 712–722. https://ajindex.com/articles/198785

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