On the half-space theorem for minimal surfaces in Heisenberg space

TL;DR

This paper presents a straightforward proof of the vertical half-space theorem for minimal surfaces within the Heisenberg space, simplifying previous approaches.

Contribution

It introduces a new, simplified proof of the vertical half-space theorem specifically for minimal surfaces in Heisenberg space.

Findings

Proof of the vertical half-space theorem in Heisenberg space

Simplification of existing proof techniques

Enhanced understanding of minimal surfaces in sub-Riemannian geometry

Abstract

We propose a simple proof of the vertical half-space theorem for Heisenberg space.