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arXiv · 1601.04532

Theory of optimal transport for Lorentzian cost functions

Stefan Suhr
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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.

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Stefan Suhr. 2016-01-18. Theory of optimal transport for Lorentzian cost functions. https://arxiv.org/abs/1601.04532

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