Vanessa Ryborz

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20242026

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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 $2$ -manifolds equipped with Riemannian metrics $g$ such that $g, g^{- 1} \in L_{loc}^{\infty} \cap W_{loc}^{1, p}$ are infinite…

gr-qc2026

Stability of Synthetic Timelike Ricci Bounds under $C^{0}$ -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 $M$ endowed with a continuous Lorentzian metric $g$ is infinitesimally Minkowskian, under the assumption t…

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

Stability of Synthetic Timelike Ricci Bounds under C0-Limits and Applications to Impulsive Gravitational Waves

Infinitesimal Minkowskianity for manifolds with continuous Lorentzian metrics

Stability of Synthetic Timelike Ricci Bounds under $C^{0}$ -Limits and Applications to Impulsive Gravitational Waves