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

Authors : Noura Djellali, Abdelbasset Hasni, Ahmed Mohammed Cherif, Mohamed Belkhelfa

Pages : 707-714

Doi:10.36890/iejg.1256112

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Publication Date : 2023-10-29

Article Type : Research Paper

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