10 citations · 17 across the 10 of their papers we have counts for
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Curvature exponent of sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
The curvature exponent of a metric measure space is the smallest number for which the measure contraction property holds. In this paper,…
Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups
Samuël Borza, Mattia Magnabosco, Tommaso Rossi +1
In this paper, we investigate the validity of synthetic curvature-dimension bounds in the sub-Finsler Heisenberg group, equipped with a positive smooth measure. Firstly, we study t…
Failure of the curvature-dimension condition in sub-Finsler manifolds
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…
First-order heat content asymptotics on spaces
Emanuele Caputo, Tommaso Rossi
In this paper, we prove first-order asymptotics on a bounded open set of the heat content when the ambient space is an space, under a regularity condition for the…
The strong Brunn--Minkowski inequality and its equivalence with the CD condition
Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi
In the setting of essentially non-branching metric measure spaces, we prove the equivalence between the curvature dimension condition CD(K,N), in the sense of Lott--Sturm--Villani,…