4 citations · 9 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips
D. Danielli, N. Garofalo, D. M. Nhieu
We prove a monotonicity result at specific points for the Horizontal Perimeter for a class of surfaces in the Heisenberg group.
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…
Sub-Riemannian Calculus on Hypersurfaces in Carnot Groups
D. Danielli, N. Garofalo, D. M. Nhieu
We develope basic geometric quantities and properties of hypersurfaces in Carnot groups.
A partial solution of the isoperimetric problem for the Heisenberg group
N. Garofalo, D. Danielli, D. M. Nhieu
We provide a partial solution to the isoperimetric problem in the Heisenberg group.
A notable family of entire intrinsic minimal graphs in the Heisenberg group which are not perimeter minimizing
D. Danielli, N. Garofalo, D. M. Nhieu
We prove that a family of entire intrinsic minimal graphs in the Heisenberg group are not perimeter minimizing.