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20062009
most citedStable complete embedded minimal surfaces in with empty characteristic locus are vertical planes

4 citations · 9 across the 5 of their papers we have counts for

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Showing 2006Show all

4 papers · 1 filter

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…

math.DG2006★ 3 cited

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.

math.DG2006

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.

math.DG2006

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.