activity
20242026
collaborators

5 papers

math.DG2026

Infinitesimal Hilbertianity for manifolds with Sobolev regular Riemannian metrics through uniform lower capacity bounds

Vanessa Ryborz

We prove that metric measure spaces arising from -manifolds equipped with Riemannian metrics such that are infinite…

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…

math.DG2024

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…