György Pál Gehér, Tamás Titkos, Dániel Virosztek
Published 2022-03-08Version 1
We prove isometric rigidity for $p$-Wasserstein spaces over finite-dimensional tori and spheres for all $p$. We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials.
Isometric rigidity of Wasserstein spaces over Euclidean spheres
Isometric rigidity of the Wasserstein space over the plane with the maximum metric
Isometric rigidity of the Wasserstein space $\mathcal{W}_1(\mathbf{G})$ over Carnot groups
![QR code for arXiv:2203.04054 [math.MG]](http://oss.arxitics.com/images/favicon.svg)