2 papers
math.AP2017
Jacobian determinant inequality on corank 1 Carnot groups with applications
Zoltán M. Balogh, Alexandru Kristály, Kinga Sipos
We establish a weighted pointwise Jacobian determinant inequality on corank 1 Carnot groups related to optimal mass transportation akin to the work of Cordero-Erausquin, McCann and…
math.AP2016
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…