Theory of optimal transport for Lorentzian cost functions

DOI10.17879/87109580432zbMath1410.49054arXiv1601.04532MaRDI QIDQ4623042

Stefan Suhr

Publication date: 18 February 2019

Full work available at URL: https://arxiv.org/abs/1601.04532

zbMATH Keywords

optimal transport problemLorentz-Finsler geometry

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (11)

Polish spaces of causal curves ⋮ Causality for nonlocal phenomena ⋮ A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ Rényi's entropy on Lorentzian spaces. Timelike curvature-dimension conditions ⋮ An optimal transport formulation of the Einstein equations of general relativity ⋮ Good geodesics satisfying the timelike curvature-dimension condition ⋮ Generally covariant \(N\)-particle dynamics ⋮ Aubry-Mather theory for Lorentzian manifolds ⋮ Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems ⋮ On the existence of dual solutions for Lorentzian cost functions ⋮ Lorentzian Gromov-Hausdorff theory and finiteness results

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