75 citations · 484 across the 32 of their papers we have counts for
3 papers · 1 filter
On the heat diffusion for generic Riemannian and sub-Riemannian structures
Davide Barilari, Ugo Boscain, Grégoire Charlot +1
In this paper we provide the small-time heat kernel asymptotics at the cut locus in three relevant cases: generic low-dimensional Riemannian manifolds, generic 3D contact sub-Riema…
Curvature: a variational approach
Andrei Agrachev, Davide Barilari, Luca Rizzi
The curvature discussed in this paper is a rather far going generalization of the Riemannian sectional curvature. We define it for a wide class of optimal control problems: a unifi…
Geometry of Maslov cycles
Davide Barilari, Antonio Lerario
We introduce the notion of induced Maslov cycle, which describes and unifies geometrical and topological invariants of many apparently unrelated problems, from Real Algebraic Geome…