TY - JOUR AB - The optimal transport problem in the context of Lorentz–Finsler geometry is studied. Besides deducing the existence of optimal couplings a result on the intermediate regularity of optimal couplings is given. Furthermore, a solution to the Monge problem and an exact criterion for the existence of causal couplings are established. The results generalize parts of [6], [8] and [11]. AU - Suhr, Stefan DA - 2018 DO - 10.17879/87109580432 LA - eng IS - Münster Journal of Mathematics M2 - 13 PY - 2018 SP - 13-47 T2 - Münster Journal of Mathematics TI - Theory of optimal transport for Lorentzian cost functions UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-87109580933 Y2 - 2024-11-22T06:55:21 ER -