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

Year 2023, Volume: 16 Issue: 2, 707 - 714, 29.10.2023

Noura Djellalı , Abdelbasset Hasni , Ahmed Mohammed Cherif , Mohamed Belkhelfa

https://doi.org/10.36890/iejg.1256112

Cited By: 2

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.

Keywords

Codazzi hypersurfaces, minimal hypersurfaces., nilpotent Lie group

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