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Journals / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

Classification of Codazzi and Note on Minimal Hypersurfaces in $Nil^{4}$

Noura Djellalı(Mascara University)0009-0000-1843-1966
Abdelbasset Hasni(Mascara University)0009-0007-3460-5269
Ahmed Mohammed Cherif(Mascara University)0000-0002-6155-0976
Mohamed Belkhelfa(Mascara University)0000-0002-2570-6742
Pages
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Publication Date
2023-10-29
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\widetilde g)$ with an example of a minimal surface in this class.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$.
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Key Findings & Data:In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$.
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Conclusion & Impact:We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\widetilde g)$ with an example of a minimal surface in this class.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Codazzi hypersurfaces · minimal hypersurfaces. · nilpotent Lie group

Abstract

In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$. We also give a characterization of a class of minimal hypersurfaces in $(Nil^{4},\widetilde g)$ with an example of a minimal surface in this class.

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Cite This Article

Djellalı, N., Hasni, A., Cherif, A. M., Belkhelfa, M. (2023). Classification of Codazzi and Note on Minimal Hypersurfaces in $Nil^{4}$. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1256112

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References (8)

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