Minimal graphs in $\mathbb{R}^{4}$ with bounded Jacobians

TL;DR

This paper proves a Bernstein-type theorem for entire two-dimensional minimal graphs in four-dimensional space and characterizes complex analytic curves within this context.

Contribution

It extends previous Bernstein results to higher dimensions and provides a new characterization of complex analytic curves in minimal graphs.

Findings

Bernstein-type theorem established for minimal graphs in $\

Characterization of complex analytic curves in $\

Extension of previous results by L. Ni.

Abstract

We obtain a Bernstein type result for entire two dimensional minimal graphs in $\mathbb{R}^{4}$, which extends a previous one due to L. Ni. Moreover, we provide a characterization for complex analytic curves.