1 citations · 2 across the 10 of their papers we have counts for
4 papers · 1 filter
Curvature estimates for minimal hypersurfaces in the Heisenberg group
Gianmarco Giovannardi, Andrea Pinamonti, Simone Verzellesi
This paper examines minimal hypersurfaces in sub-Riemannian Heisenberg groups. We extend the celebrated Simons formula and Kato inequality to the sub-Riemannian setting, and we app…
Existence and uniqueness of -graphs of prescribed mean curvature in Heisenberg groups
Julián Pozuelo, Simone Verzellesi
We study the prescribed mean curvature equation for -graphs in a Riemannian Heisenberg group of arbitrary dimension. We characterize the existence of classical solutions in a bo…
Lipschitz approximation of almost -perimeter minimizing boundaries in plentiful groups
Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
We prove that the boundary of an almost minimizer of the intrinsic perimeter in a plentiful group can be approximated by intrinsic Lipschitz graphs. Plentiful groups are Carnot gro…
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
Andrea Pinamonti, Simone Verzellesi
In this paper we achieve a first concrete step towards a better understanding of the so-called Bernstein problem in higher dimensional Heisenberg groups. Indeed, in the sub-Riemann…