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Dergiler / 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
Sayfa
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Yayın Tarihi
2026-10-25
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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