75 citations · 484 across the 32 of their papers we have counts for
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math.DG2012★ 66 cited
A formula for Popp's volume in sub-Riemannian geometry
Davide Barilari, Luca Rizzi
For an equiregular sub-Riemannian manifold M, Popp's volume is a smooth volume which is canonically associated with the sub-Riemannian structure, and it is a natural generalization…
math.AP2012
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
Davide Barilari, Jacek Jendrej
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds…
math.AP2012★ 8 cited
Small time heat kernel asymptotics at the sub-Riemannian cut locus
Davide Barilari, Ugo Boscain, Robert W. Neel
For a sub-Riemannian manifold provided with a smooth volume, we relate the small time asymptotics of the heat kernel at a point of the cut locus from with roughly "how much…