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math.DG2024
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics
Michael Kunzinger, Argam Ohanyan, Alessio Vardabasso
We study rigidity problems for Riemannian and semi-Riemannian manifolds with metrics of low regularity. Specifically, we prove a version of the Cheeger-Gromoll splitting theorem \c…
math.DG2024
The equivalence of smooth and synthetic notions of timelike sectional curvature bounds
Tobias Beran, Michael Kunzinger, Argam Ohanyan +1
Timelike sectional curvature bounds play an important role in spacetime geometry, both for the understanding of classical smooth spacetimes and for the study of Lorentzian (pre-)le…