67 citations · 132 across the 18 of their papers we have counts for
7 papers · 1 filter
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…
On tangent cones to length minimizers in Carnot-Carathéodory spaces
Roberto Monti, Alessandro Pigati, Davide Vittone
We give a detailed proof of some facts about the blow-up of horizontal curves in Carnot-Carathéodory spaces.
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition
Andrea Pinamonti, Francesco Serra Cassano, Giulia Treu +1
We consider the area functional for t-graphs in the sub-Riemannian Heisenberg group and study minimizers of the associated Dirichlet problem. We prove that, under a bounded slope c…
On transversal submanifolds and their measure
Valentino Magnani, Jeremy T. Tyson, Davide Vittone
We study the class of transversal submanifolds. We characterize their blow-ups at transversal points and prove a negligibility theorem for their "generalized characteristic set", w…