The five gradients inequality on differentiable manifolds
Analysis of PDEs
2024-09-09 v2 Mathematical Physics
Differential Geometry
Metric Geometry
math.MP
Abstract
The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locally compact Lie groups and compact Riemannian manifolds.
Cite
@article{arxiv.2307.11451,
title = {The five gradients inequality on differentiable manifolds},
author = {S. Di Marino and S. Murro and E. Radici},
journal= {arXiv preprint arXiv:2307.11451},
year = {2024}
}
Comments
32 pages -- accepted in Journal de Math\'ematiques Pures et Appliqu\'ees