A note on optimal transport and Monge-Amp\`ere geometry
Mathematical Physics
2023-02-21 v1 Analysis of PDEs
math.MP
Abstract
We identify a novel connection between a recently introduced pseudo-Riemannian framework for optimal mass transport and the geometry of Monge-Amp\`ere equations. We show this correspondence by application to an example from geophysical fluid dynamics.
Keywords
Cite
@article{arxiv.2302.05722,
title = {A note on optimal transport and Monge-Amp\`ere geometry},
author = {Roberto D'Onofrio},
journal= {arXiv preprint arXiv:2302.05722},
year = {2023}
}