Some classes of minimal surfaces in the $3$-space with $2m$-norm

TL;DR

This paper explores various classes of minimal surfaces in three-dimensional space equipped with a $2m$-norm, focusing on translation, homothetical, and separable types.

Contribution

It introduces and analyzes specific classes of minimal surfaces within the context of the $2m$-norm, expanding understanding of their geometric properties.

Findings

Characterization of translation minimal surfaces

Analysis of homothetical minimal surfaces

Study of separable minimal surfaces

Abstract

We discuss translation minimal surfaces, homothetical minimal surfaces, and separable minimal surfaces in the $3$-space with $2m$-norm.