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math.AP2026
Causal Sobolev spaces and gradient flows
Mathias Braun, Nicola Gigli, Robert McCann +1
We develop a relaxation-based approach to Sobolev functions and Cheeger energies on metric spacetimes, in analogy with the construction used in positive signature. For an exponent…
gr-qc2026
A synthetic Gannon-Lee incompleteness theorem
Mathias Braun, Carlo Rotolo
We prove the Gannon-Lee incompleteness theorem for globally hyperbolic spacetimes. We assume the synthetic null energy condition of Ketterer and a trappedness condition we call "sy…