3 citations · 3 across the 1 of their papers we have counts for
6 papers
Nonminimality of spirals in sub-Riemannian manifolds
Roberto Monti, Alessandro Socionovo
We show that in analytic sub-Riemannian manifolds of rank 2 satisfying a commutativity condition spiral-like curves are not length minimizing near the center of the spiral. The pro…
A Trace theorem for Martinet--type vector fields
Daniele Gerosa, Roberto Monti, Daniele Morbidelli
In we consider the vector fields \[ X_1 =\frac{ \partial }{\partial x},\qquad X_2 =\frac{ \partial }{\partial y}+ |x|^α\frac{ \partial }{\partial z}, \] where $α\in\…
John and uniform domains in generalized Siegel boundaries
Roberto Monti, Daniele Morbidelli
Given the pair of vector fields and where , we gi…
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.
Convex isoperimetric sets in the Heisenberg group
Roberto Monti, Matthieu Rickly
We characterize convex isoperimetric sets in the Heisenberg group endowed with horizontal perimeter. We first prove Sobolev regularity for a certain class of vector fields in the p…
Levi umbilical surfaces in complex space
R. Monti, D. Morbidelli
We define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify conne…