3 papers
math.DG2022
The Brunn--Minkowski inequality implies the CD condition in weighted Riemannian manifolds
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
The curvature dimension condition CD(K,N), pioneered by Sturm and Lott--Villani, is a synthetic notion of having curvature bounded below and dimension bounded above, in the non-smo…
math.DG2022
The relative heat content for submanifolds in sub-Riemannian geometry
Tommaso Rossi
We study the small-time asymptotics of the relative heat content for submanifolds in sub-Riemannian geometry. First, we prove the existence of a smooth tubular neighborhood for sub…
math.DG2020
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group
Tommaso Rossi
We address the problem of integrability of the sub-Riemannian mean curvature of an embedded hypersurface around isolated characteristic points. The main contribution of this note i…