7 citations · 15 across the 8 of their papers we have counts for
9 papers
A canonical infinitesimally Hilbertian structure on locally Minkowski spaces
Mattia Magnabosco, Chiara Rigoni
The aim of this paper is to show the existence of a canonical distance defined on a locally Minkowski metric measure space such tha…
Heat kernel bounds and Ricci curvature for Lipschitz manifolds
Mathias Braun, Chiara Rigoni
Given any -dimensional Lipschitz Riemannian manifold with heat kernel , we establish uniform upper bounds on which can always be decoupled in sp…
Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below
Mattia Magnabosco, Chiara Rigoni
In this paper we investigate two important properties of metric measure spaces satisfying the reduced curvature-dimension condition for negative values of the dimension parameter:…
Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter
Mattia Magnabosco, Chiara Rigoni, Gerardo Sosa
We study the problem of whether the curvature-dimension condition with negative values of the generalized dimension parameter is stable under a suitable notion of convergence. To t…
Partial derivatives in the nonsmooth setting
Nicola Gigli, Chiara Rigoni
We study partial derivatives on the product of two metric measure structures, in particular in connection with calculus via modules as proposed by the first named author. Our main…
Lie brackets of nonsmooth vector fields and commutation of their flows
Chiara Rigoni, Eugene Stepanov, Dario Trevisan
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…