1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2025
Not all sub-Riemannian minimizing geodesics are smooth
Yacine Chitour, Frédéric Jean, Roberto Monti +4
A longstanding open question in sub-Riemannian geometry is the following: are sub-Riemannian length minimizers smooth? We give a negative answer to this question, exhibiting an exa…
math.OC2014
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…
math.CV2010★ 1 cited
Pseudohermitian invariants and classification of CR mappings in generalized ellipsoids
Roberto Monti, Daniele Morbidelli
We discuss the problem of classifying all local CR diffeomorphisms of a strictly pseudoconvex surface. Our method exploits the Tanaka--Webster pseudohermitian invariants, their tra…