3 papers
math.MG2024
Symmetry results for the area formula in homogeneous groups
Francesca Corni, Valentino Magnani
We prove that if the shape of the metric unit ball in a homogeneous group enjoys a precise symmetry property, then the associated distance yields the standard form of the area form…
math.MG2020
A reverse coarea-type inequality in Carnot groups
Francesca Corni
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level set…
math.MG2019
Intrinsic Regular Surfaces of low codimension in Heisenberg groups
Francesca Corni
In this paper we study intrinsic regular submanifolds of , of low co-dimension in relation with the regularity of their intrinsic parametrization. We extend some resu…