10 citations · 17 across the 10 of their papers we have counts for
6 papers · 1 filter
Tubes in sub-Riemannian geometry and a Weyl's invariance result for curves in the Heisenberg groups
Tania Bossio, Luca Rizzi, Tommaso Rossi
The purpose of the paper is threefold: first, we prove optimal regularity results for the distance from submanifolds of general rank-varying sub-Riemannian structures. Then,…
A review of the tangent space in sub-Finsler geometry and applications to the failure of the condition
Mattia Magnabosco, Tommaso Rossi
We review the construction of the tangent space to a sub-Finsler manifold in the measured Gromov-Hausdorff sense. Under suitable assumptions on the measure, the metric measure tang…
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…
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…
Almost-Riemannian manifolds do not satisfy the condition
Mattia Magnabosco, Tommaso Rossi
The Lott-Sturm-Villani curvature-dimension condition provides a synthetic notion for a metric-measure space to have curvature bounded from below by and dimen…
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…