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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2025 / Volume: 74 Issue: 4

Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration

Bahar Doğan Yazıcı(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0001-5690-4840
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Publication Date
2025-12-24
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we describe the integral invariants drall, apex angle and pitch for each ruled surface drawn by versor fields.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we define parallel $\mathcal{P}$-equidistant ruled surfaces with the Myller configuration.
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Key Findings & Data:We investigate the characterization of the striction curves and $\mathcal{P}$-distance of parallel $\mathcal{P}$-equidistant ruled surfaces.
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Conclusion & Impact:Finally, we describe the integral invariants drall, apex angle and pitch for each ruled surface drawn by versor fields.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Parallel $\mathcal{P}$-equidistant ruled surface · Myller configuration · versor fields

Abstract

In this work, we define parallel $\mathcal{P}$-equidistant ruled surfaces with the Myller configuration. We investigate the characterization of the striction curves and $\mathcal{P}$-distance of parallel $\mathcal{P}$-equidistant ruled surfaces. In addition, we obtain the relationships between the versor fields of the base curves of parallel $\mathcal{P}$-equidistant ruled surfaces and the relationships between curvatures and invariants with the Myller configuration. Finally, we describe the integral invariants drall, apex angle and pitch for each ruled surface drawn by versor fields.

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Cite This Article

Yazıcı, B. D. (2025). Properties of parallel $\mathcal{P}$-equidistant ruled surfaces with Myller configuration. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 4. https://doi.org/10.31801/cfsuasmas.1591735

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