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20222026
most citedThe splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature

24 citations · 42 across the 12 of their papers we have counts for

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math.DG2024

A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Tobias Beran, Mathias Braun, Matteo Calisti +5

We introduce a variational first-order Sobolev calculus on metric measure spacetimes. The key object is the maximal weak subslope of an arbitrary causal function, which plays the r…

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…