4 citations · 6 across the 2 of their papers we have counts for
2 papers
math.DG2009★ 4 cited
Stable complete embedded minimal surfaces in 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 minimal surfaces in the first Heisenberg group $\Hn$ which are graphs over some plane and have empty chara…
math.DG2006★ 2 cited
Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group
D. Danielli, N. Garofalo, D. M. Nhieu +1
Let S be a C^2 H-minimal noncharacteristic hypersurface in the first Heisenberg group. We show that if S contains a graphical strip, then it is not a stable minimal surface. Moreov…