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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 2

Rotational surfaces with Cheng-Yau operator in Galilean 3-spaces

Alev Kelleci Akbay(FIRAT UNIVERSITY)0000-0003-2528-2131
Pages
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Publication Date
2021-04-11
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We classify rotational surfaces satisfying $$L_1G=F(G+C)$$ for some constant vector $C\in \mathbb{G}^3$ and smooth function $F$, where $L_1$ denotes the Cheng-Yau operator.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we study three types of rotational surfaces in Galilean 3-spaces.
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Key Findings & Data:In this paper, we study three types of rotational surfaces in Galilean 3-spaces.
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Conclusion & Impact:We classify rotational surfaces satisfying $$L_1G=F(G+C)$$ for some constant vector $C\in \mathbb{G}^3$ and smooth function $F$, where $L_1$ denotes the Cheng-Yau operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cheng-Yau operator · Rotational surfaces · Galilean spaces

Abstract

In this paper, we study three types of rotational surfaces in Galilean 3-spaces. We classify rotational surfaces satisfying $$L_1G=F(G+C)$$ for some constant vector $C\in \mathbb{G}^3$ and smooth function $F$, where $L_1$ denotes the Cheng-Yau operator.

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Cite This Article

Akbay, A. K. (2021). Rotational surfaces with Cheng-Yau operator in Galilean 3-spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 2. https://doi.org/10.15672/hujms.612730

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