Isometric rigidity of Wasserstein tori and spheres
Metric Geometry
2024-08-19 v1 Mathematical Physics
Functional Analysis
math.MP
Probability
Abstract
We prove isometric rigidity for -Wasserstein spaces over finite-dimensional tori and spheres for all . We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials.
Cite
@article{arxiv.2203.04054,
title = {Isometric rigidity of Wasserstein tori and spheres},
author = {György Pál Gehér and Tamás Titkos and Dániel Virosztek},
journal= {arXiv preprint arXiv:2203.04054},
year = {2024}
}