Duality of Hessian manifolds and optimal transport
Differential Geometry
2023-06-22 v1
Abstract
This is an expository paper describing how duality theory for Hessian manifolds provides a natural setting for optimal transport. We explain how this can be used to solve Monge-Amp\`ere equations and survey recent results along these lines with applications to the SYZ-conjecture in mirror symmetry.
Keywords
Cite
@article{arxiv.2306.11819,
title = {Duality of Hessian manifolds and optimal transport},
author = {Jakob Hultgren},
journal= {arXiv preprint arXiv:2306.11819},
year = {2023}
}
Comments
20 pages. Comments are welcome