Theory of optimal transport for Lorentzian cost functions
Differential Geometry
2018-04-20 v2 Mathematical Physics
math.MP
Optimization and Control
Abstract
The optimal transport problem is studied in the context of Lorentz-Finsler geometry. For globally hyperbolic Lorentz-Finsler spacetimes the first Kantorovich problem and the Monge problem are solved. Further the intermediate regularity of the transport paths is studied. These results generalize parts of Bertrand & Puel and Brenier et al.
Keywords
Cite
@article{arxiv.1601.04532,
title = {Theory of optimal transport for Lorentzian cost functions},
author = {Stefan Suhr},
journal= {arXiv preprint arXiv:1601.04532},
year = {2018}
}
Comments
are welcome, v2: improved exposition