2 papers
math.MG2026
Monge's transport problem in synthetic Lorentzian spacetimes
Afiny Akdemir
We prove the existence of solutions to the Lorentzian Monge problem on synthetic Lorentzian spacetimes that satisfy the forward timelike measure contraction property .…
math.DG2020
Independence of synthetic Curvature Dimension conditions on transport distance exponent
Afiny Akdemir, Fabio Cavalletti, Andrew Colinet +2
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a Ricci curvature lower bound joint with an upper bound on the dimension. T…