75 citations · 484 across the 32 of their papers we have counts for
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math.OC2011
On 2-step, corank 2 nilpotent sub-Riemannian metrics
Davide Barilari, Ugo Boscain, Jean-Paul Gauthier
In this paper we study the nilpotent 2-step, corank 2 sub-Riemannian metrics that are nilpotent approximations of general sub-Riemannian metrics. We exhibit optimal syntheses for t…
math.AP2011★ 1 cited
Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
Davide Barilari
In this paper we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We then explicitly compute, in the case of a 3D c…