3 papers
gr-qc2026
Stability of Synthetic Timelike Ricci Bounds under -Limits and Applications to Impulsive Gravitational Waves
Andrea Mondino, Vanessa Ryborz, Clemens Sämann
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…
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.DG2025
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…