Isometric rigidity of the Wasserstein space over the plane with the maximum metric

Zoltán M. Balogh, Gergely Kiss, Tamás Titkos +1

We study $p$-Wasserstein spaces over the branching spaces ${\mathbb{R}}^2$ and $[-1,1{]}^2$ equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…