English

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

Differential Geometry 2023-05-05 v2

Abstract

In this paper, we give a classification of Codazzi hypersurfaces in a Lie group (Nil4,g~)(Nil^{4},\widetilde g). We also give a characterization of a class of minimal hypersurfaces in (Nil4,g~)(Nil^{4},\widetilde g) with an example of a minimal surface in this class.

Cite

@article{arxiv.2205.09848,
  title  = {Classification of Codazzi and note on minimal hypersurfaces in $Nil^{4}$},
  author = {Noura Djellali and Abdelbasset Hasni and Ahmed Mohammed Cherif and Mohamed Belkhelfa},
  journal= {arXiv preprint arXiv:2205.09848},
  year   = {2023}
}
R2 v1 2026-06-24T11:22:52.484Z