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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 7 Issue: 1

Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales

Gülden Altay Suroğlu(FIRAT UNIVERSITY)0000-0003-1976-3465
Emrah Yılmaz(FIRAT ÜNİVERSİTESİ)0000-0002-7822-9193
Pages
—
Publication Date
2026-01-31
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AI Summary & Key Takeaways

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

Then, we derive the principal curvatures for the ruled surfaces, providing some examples for clarification.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we present the geometry of ruled surfaces on an arbitrary product time scale.
📊
Key Findings & Data:We establish the mean and Gaussian curvatures of these surfaces on the relevant product time scale.
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Conclusion & Impact:Then, we derive the principal curvatures for the ruled surfaces, providing some examples for clarification.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Product Time Scales · Ruled Surfaces · Partial Delta Derivatives

Abstract

In this study, we present the geometry of ruled surfaces on an arbitrary product time scale. We establish the mean and Gaussian curvatures of these surfaces on the relevant product time scale. Then, we derive the principal curvatures for the ruled surfaces, providing some examples for clarification.

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Cite This Article

Suroğlu, G. A., Yılmaz, E. (2026). Exploring the Principal Curvatures of Ruled Surfaces over Product Time Scales. Fundamentals of Contemporary Mathematical Sciences, Volume: 7 Issue: 1. https://doi.org/10.54974/fcmathsci.1589595

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