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arXiv · 2205.09848

Classification of Codazzi and note on minimal hypersurfaces in $Nil^{4}$

Noura Djellali·Abdelbasset Hasni·Ahmed Mohammed Cherif·Mohamed Belkhelfa
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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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Noura Djellali, Abdelbasset Hasni, Ahmed Mohammed Cherif, Mohamed Belkhelfa. 2022-05-19. Classification of Codazzi and note on minimal hypersurfaces in $Nil^{4}$. https://arxiv.org/abs/2205.09848

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