Stable complete embedded minimal surfaces in ${\mathbb{H}}^1$ with empty characteristic locus are vertical planes

Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu +1

In the recent paper \cite{DGNP} we have proved that the only stable $C^2$ minimal surfaces in the first Heisenberg group $\Hn$ which are graphs over some plane and have empty chara…