10 citations · 61 across the 23 of their papers we have counts for
4 papers · 1 filter
On the local boundedness of maximal H--monotone operators
Z. M. Balogh, A. Calogero, R. Pini
In this paper we prove that maximal H-monotone operators whose domain is all the Heisenberg group are locally bounded. This implies that they are…
Geometric inequalities on Heisenberg groups
Zoltán M. Balogh, Alexandru Kristály, Kinga Sipos
We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group . Our results include a natural sub-Riemannian version of the celebrated curv…
Sub-Riemannian curvature and a Gauss-Bonnet theorem in the Heisenberg group
Zoltán Balogh, Jeremy T. Tyson, Eugenio Vecchi
We use a Riemannnian approximation scheme to define a notion of for a Euclidean -smooth surface in the Heisenberg group $\mathbb…
Quasiconformal mappings that highly distort dimensions of many parallel lines
Zoltán M. Balogh, Jeremy T. Tyson, Kevin Wildrick
We construct a quasiconformal mapping of -dimensional Euclidean space, , that simultaneously distorts the Hausdorff dimension of a nearly maximal collection of paralle…