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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 6

A new approach to revolution surface with its focal surface in the Galilean 3-space $\mathbb{G}_{3}$

İlim Kişi
Pages
1722–1737
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, by giving some examples to these surfaces, we present the visualizations of each type of focal surface of surface of revolution in $\mathbb{G}_{3}$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we handle focal surfaces of surface of revolution in Galilean 3-space $\mathbb{G}_{3}$.
📊
Key Findings & Data:We define the focal surfaces of surface of revolution and we obtain some results for these types of surfaces to become flat and minimal.
💡
Conclusion & Impact:Also, by giving some examples to these surfaces, we present the visualizations of each type of focal surface of surface of revolution in $\mathbb{G}_{3}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:line congruence · focal surface · surface of revolution

Abstract

In this paper, we handle focal surfaces of surface of revolution in Galilean 3-space $\mathbb{G}_{3}$. We define the focal surfaces of surface of revolution and we obtain some results for these types of surfaces to become flat and minimal. Also, by giving some examples to these surfaces, we present the visualizations of each type of focal surface of surface of revolution in $\mathbb{G}_{3}$.

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Cite This Article

Kişi, İ. (2022). A new approach to revolution surface with its focal surface in the Galilean 3-space $\mathbb{G}_{3}$. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 6, 1722–1737. https://ajindex.com/articles/529983

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