Singular minimal translation surfaces in Euclidean spaces endowed with semi-symmetric connections

TL;DR

This paper classifies singular minimal translation surfaces in 3D Euclidean space equipped with a semi-symmetric connection, expanding understanding of geometric structures under non-standard connections.

Contribution

It introduces a classification of singular minimal translation surfaces in Euclidean spaces with semi-symmetric connections, a novel geometric setting.

Findings

Complete classification of singular minimal translation surfaces.

Identification of geometric properties influenced by semi-symmetric connections.

Extension of minimal surface theory to non-metric connection contexts.

Abstract

In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension 3 endowed with a certain semi-symmetric (non-)metric connection.