67 citations · 132 across the 18 of their papers we have counts for
26 papers
Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
Marco Di Marco, Antoine Julia, Sebastiano Nicolussi Golo +1
We introduce and study the notion of -regular submanifold with boundary in sub-Riemannian Heisenberg groups. As an application, we prove a version of Stokes' Theore…
The Sard problem in step 2 and in filiform Carnot groups
Francesco Boarotto, Luca Nalon, Davide Vittone
We study the Sard problem for the endpoint map in some well-known classes of Carnot groups. Our first main result deals with step 2 Carnot groups, where we provide lower bounds (de…
On the Lebesgue measure of the boundary of the evoluted set
Francesco Boarotto, Laura Caravenna, Francesco Rossi +1
The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow…
Lipschitz functions on submanifolds in Heisenberg groups
Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone
We study the behavior of Lipschitz functions on intrinsic submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We…
Nowhere differentiable intrinsic Lipschitz graphs
Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone
We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneou…
Lipschitz graphs and currents in Heisenberg groups
Davide Vittone
The main result of the present paper is a Rademacher-type theorem for intrinsic Lipschitz graphs of codimension in sub-Riemannian Heisenberg groups . For the…