75 citations · 484 across the 32 of their papers we have counts for
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math.DG2022★ 1 cited
Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
Davide Barilari, Andrea Mondino, Luca Rizzi
Recent advances in the theory of metric measures spaces on the one hand, and of sub-Riemannian ones on the other hand, suggest the possibility of a "great unification" of Riemannia…
math.DG2022★ 3 cited
Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold
Davide Barilari, Karen Habermann
We construct and study the intrinsic sub-Laplacian, defined outside the set of characteristic points, for a smooth hypersurface embedded in a contact sub-Riemannian manifold. We pr…
math.AP2022
Spectral summability for the quartic oscillator with applications to the Engel group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher +1
In this article, we investigate spectral properties of the sublaplacian on the Engel group, which is the main example of a Carnot group of step 3. We develop a new approac…