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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 74 Issue: 1

Direction curves and construction of developable surfaces in Lorentz 3-space

Esma Demir Çetin(Nevşehir Hacı Bektaş Veli University)0000-0002-3223-5870
Çağla Ramis(NEVSEHIR HACI BEKTAS VELI UNIVERSITY)0000-0002-2809-8324
Yusuf Yaylı(ANKARA UNIVERSITY)0000-0003-4398-3855
Pages
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Publication Date
2025-03-08
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AI Summary & Key Takeaways

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

Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame.
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Key Findings & Data:In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame.
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Conclusion & Impact:Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Developable surfaces · singular points · special curves

Abstract

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

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Cite This Article

Çetin, E. D., Ramis, Ç., Yaylı, Y. (2025). Direction curves and construction of developable surfaces in Lorentz 3-space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 1. https://doi.org/10.31801/cfsuasmas.1395601

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References (12)

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