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math.DG2025
Concavity of spacetimes
Tobias Beran, Darius Erös, Shin-ichi Ohta +1
Motivated by recent breathtaking progress in the synthetic study of Lorentzian geometry, we investigate the local concavity of time separation functions on Finsler spacetimes as a…
math.DG2025
Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces
Tobias Beran, Felix Rott
We present an analogue to the Majorisation Theorem of Reshetnyak in the setting of Lorentzian length spaces with upper curvature bounds: given two future-directed timelike rectifia…