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

Abstract

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