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math.DG2021
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…
math.DG2021★ 4 cited
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:…
math.MG2021★ 3 cited
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…