A note on optimal transport and Monge-Ampère geometry

DOI10.1016/J.GEOMPHYS.2023.104771OpenAlexW4319072994MaRDI QIDQ2693326

R. D'Onofrio

Publication date: 20 March 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05722

zbMATH Keywords

optimal transportgeophysical fluid dynamicspseudo-Riemannian geometryMonge-Ampère geometry

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Optimal transportation (49Q22)

Related Items (1)

Monge-Ampère geometry and vortices

Cites Work

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• Lie solutions of Riemannian transport equations on compact manifolds
• Nondegenerate Monge-Ampère structures in dimension 6
• Geometry of Monge-Ampère structures
• Pseudo-Riemann geometry calibrates optimal transportation
• Regularity of potential functions of the optimal transportation problem
• Monge–Ampère structures and the geometry of incompressible flows
• The Mathematics of Large-Scale Atmosphere and Ocean

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