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math.DG2026
Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics
Vanessa Ryborz
We prove that any metric measure spacetime arising from a smooth manifold endowed with a continuous Lorentzian metric is infinitesimally Minkowskian, under the assumption t…
math.DG2026
The infinitesimal structure of manifolds with non-continuous Riemannian metrics
Vanessa Ryborz
This paper investigates the failure of certain metric measure spaces to be infinitesimally Hilbertian or quasi-Riemannian manifolds, by constructing examples arising from a manifol…
math.DG2025
On the equivalence of distributional and synthetic Ricci curvature lower bounds
Andrea Mondino, Vanessa Ryborz
The goal of the paper is to prove the equivalence of distributional and synthetic Ricci curvature lower bounds for a weighted Riemannian manifold with continuous metric tensor havi…