13 citations · 63 across the 19 of their papers we have counts for
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Existence of tangent lines to Carnot-Carathéodory geodesics
Roberto Monti, Alessandro Pigati, Davide Vittone
We show that length minimizing curves in Carnot-Carathéodory spaces possess at any point at least one tangent curve (i.e., a blow-up in the nilpotent approximation) equal to a stra…
Quantitative isoperimetric inequalities in H^n
Valentina Franceschi, Gian Paolo Leonardi, Roberto Monti
In the Heisenberg group H^n, we prove quantitative isoperimetric inequalities for Pansu's spheres, that are known to be isoperimetric under various assumptions. The inequalities ar…
Isoperimetric problem in H-type groups and Grushin spaces
Valentina Franceschi, Roberto Monti
We study the isoperimetric problem in H-type groups and Grushin spaces, emphasizing a relation between them. We prove existence, symmetry and regularity properties of isoperimetric…
Corners in non-equiregular sub-Riemannian manifolds
Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti +1
We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results [4]. As an application of our main result we comple…