75 citations · 484 across the 32 of their papers we have counts for
4 papers · 1 filter
Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature
Davide Barilari, Francesco Boarotto
We consider the heat equation associated with a class of hypoelliptic operators of Kolmogorov-Fokker-Planck type in dimension two. We explicitly compute the first meaningful coeffi…
Sub-Riemannian interpolation inequalities
Davide Barilari, Luca Rizzi
We prove that ideal sub-Riemannian manifolds (i.e., admitting no non-trivial abnormal minimizers) support interpolation inequalities for optimal transport. A key role is played by…
A Bonnet-Myers type theorem for quaternionic contact structures
Davide Barilari, Stefan Ivanov
We prove a Bonnet-Myers type theorem for quaternionic contact manifolds of dimension bigger than 7. If the manifold is complete with respect to the natural sub-Riemannian distance…
Sharp measure contraction property for generalized H-type Carnot groups
Davide Barilari, Luca Rizzi
We prove that H-type Carnot groups of rank and dimension satisfy the if and only if and . The latter integer coincides with t…