4 papers
Stability of Synthetic Timelike Ricci Bounds under -Limits and Applications to Impulsive Gravitational Waves
Andrea Mondino, Vanessa Ryborz, Clemens Sämann +1
We investigate the stability of timelike Ricci curvature lower bounds under low-regularity limits of Lorentzian metrics. Specifically, we prove that the synthetic curvature-dimensi…
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…
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…
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…