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Theory of optimal transport for Lorentzian cost functions

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arxiv 1601.04532 v2 pith:AXADCPZU submitted 2016-01-18 math.DG math-phmath.MPmath.OC

Stefan Suhr This is my paper · ORCID
classification math.DGmath-phmath.MPmath.OC
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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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Cited by 2 Pith papers

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