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math.DG2024
An elliptic proof of the splitting theorems from Lorentzian geometry
Mathias Braun, Nicola Gigli, Robert J. McCann +2
We provide a new proof of the splitting theorems from Lorentzian geometry, in which simplicity is gained by sacrificing linearity of the d'Alembertian to recover ellipticity. We ex…
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-ph2024★ 1 cited
Causal convergence conditions through variable timelike Ricci curvature bounds
Mathias Braun, Robert J. McCann
We describe a nonsmooth notion of globally hyperbolic, regular length metric spacetimes . It is based on ideas of Kunzinger-Sämann, but does not require Lipschitz c…