Accepted Paper

Inserted: 25 jul 2023
Last Updated: 5 jun 2024

Journal: to appear on JMPA
Year: 2023

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 with Ricci curvature bounded from below.