Calculus of Variations and Geometric Measure Theory

S. Di Marino - S. Murro - E. Radici

The five gradients inequality on differentiable manifolds

created by dimarino on 25 Jul 2023



Inserted: 25 jul 2023
Last Updated: 25 jul 2023

Year: 2023

ArXiv: 2307.11451 PDF


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.