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Dergiler / 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
Sayfa
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Yayın Tarihi
2023-10-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$.
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Temel Bulgular & Veri:In this paper, we give a classification of Codazzi hypersurfaces in a Lie group $(Nil^{4},\widetilde g)$.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (8)

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  6. Leo B.D., Veken J.V.: Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces. Geom Dedicata, 159, 373-387 (2012).
  7. O’Neil: Semi-Riemannian Geometry. Academic Press, New York (1983).
  8. Willmore T.J.: Riemannian Geometry. Clarendon Press, New York (1993).