75 citations · 484 across the 32 of their papers we have counts for
4 papers · 1 filter
Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators
Davide Barilari, Elisa Paoli
We consider the heat equation associated with a class of second order hypoelliptic Hörmander operators with constant second order term and linear drift. We describe the possible sm…
Sub-Finsler structures from the time-optimal control viewpoint for some nilpotent distributions
Davide Barilari, Ugo Boscain, Enrico Le Donne +1
In this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated w…
On Jacobi fields and canonical connection in sub-Riemannian geometry
Davide Barilari, Luca Rizzi
In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canoni…
Sub-Riemannian curvature in contact geometry
Andrei Agrachev, Davide Barilari, Luca Rizzi
We compare different notions of curvature on contact sub-Riemannian manifolds. In particular we introduce canonical curvatures as the coefficients of the sub-Riemannian Jacobi equa…