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Journals / International Electronic Journal of Geometry / 2026 / Volume: 17 Issue: 1

Rotational Surfaces in $\mathbb R^4$ with New Approaches and Examples

Muhittin Evren Aydın(Fırat Üniversitesi)0000-0001-9337-8165
Lopez Rafael(Universidad de Granada)0000-0003-3108-7009
Pages
—
Publication Date
2024-04-23
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AI Summary & Key Takeaways

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

Using this parametrization, we find new examples of rotational minimal surfaces and rotational surfaces with zero Gaussian curvature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give a new approach to the rotational minimal surfaces in $4$-dimensional Euclidean space $\mathbb{R}^4$.
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Key Findings & Data:One type of these surfaces is obtained by the composition of two families of rotations in orthogonal planes.
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Conclusion & Impact:Using this parametrization, we find new examples of rotational minimal surfaces and rotational surfaces with zero Gaussian curvature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Rotational surface · minimal surface · Gauss curvature

Abstract

In this paper, we give a new approach to the rotational minimal surfaces in $4$-dimensional Euclidean space $\mathbb{R}^4$. One type of these surfaces is obtained by the composition of two families of rotations in orthogonal planes. For these surfaces, we give a new parameterization. Using this parametrization, we find new examples of rotational minimal surfaces and rotational surfaces with zero Gaussian curvature.

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Cite This Article

Aydın, M. E., Rafael, L. (2024). Rotational Surfaces in $\mathbb R^4$ with New Approaches and Examples. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1430210

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References (8)

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