Some minimal hypersurfaces in the ($n+1$)-space with $2m$-norm

TL;DR

This paper investigates specific classes of minimal hypersurfaces in higher-dimensional spaces equipped with a $2m$-norm, focusing on translation and separable types.

Contribution

It introduces new results on the structure and properties of translation and separable minimal hypersurfaces in spaces with $2m$-norm.

Findings

Characterization of translation minimal hypersurfaces

Classification of separable minimal hypersurfaces

Insights into geometric properties under $2m$-norm

Abstract

We study translation minimal hypersurfaces and separable minimal hypersurfaces in the ($n+1$)-space with $2m$-norm.