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Journals / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 2

On Minimal Surfaces in Galilean Space

Mustafa Dede(KİLİS 7 ARALIK ÜNİVERSİTESİ)0000-0003-2652-637X
Cumali Ekici(ESKISEHIR OSMANGAZI UNIVERSITY, GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES)0000-0002-3247-5727
Pages
142–147
Publication Date
2019-11-25
DOI
—
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AI Summary & Key Takeaways

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

Then, we derived the necessary and sufficient conditions that the minimal surfaces have to satisfy in Galilean space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigated the minimal surfaces in three dimensional Galilean space $\mathbb{G}^{3}$.
📊
Key Findings & Data:We showed that the condition of minimality of a surface area is locally equivalent to the mean curvature vector $H$ vanishes identically.
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Conclusion & Impact:Then, we derived the necessary and sufficient conditions that the minimal surfaces have to satisfy in Galilean space.
🔬Design:Konferans Bildirisi
📍Scope:Comprehensive Sample
⚙️Variables:Minimal surfaces · area of a surface · Galilean space

Abstract

In this paper, we investigated the minimal surfaces in three dimensional Galilean space $\mathbb{G}^{3}$. We showed that the condition of minimality of a surface area is locally equivalent to the mean curvature vector $H$ vanishes identically. Then, we derived the necessary and sufficient conditions that the minimal surfaces have to satisfy in Galilean space.

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Cite This Article

Dede, M., Ekici, C. (2019). On Minimal Surfaces in Galilean Space. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 2, 142–147. https://ajindex.com/articles/1648741

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