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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 2

Parallel Hypersurfaces of the Model Space $\mathrm{Nil}_3\times\mathbb{E}^1$

Jun-İchi Inoguchi(Hokkaido Univeristy)0000-0002-6584-5739
Zlatko Erjavec(University of Zagreb)0000-0002-9402-1069
Pages
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Publication Date
2026-10-25
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AI Summary & Key Takeaways

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

In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.
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Key Findings & Data:In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.
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Conclusion & Impact:In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Codazzi hypersurface · parallel hypersurface · totally umbilical hypersurface

Abstract

In this paper we classify Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the the $4$-dimensional nilpotent Lie group $\mathrm{Nil}_3\times\mathbb{E}^1$ equipped with standard globally conformal Kähler metric.

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Cite This Article

Inoguchi, J., Erjavec, Z. (2026). Parallel Hypersurfaces of the Model Space $\mathrm{Nil}_3\times\mathbb{E}^1$. International Electronic Journal of Geometry, Volume: 19 Issue: 2. https://doi.org/10.36890/iejg.1920723

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