Isometric rigidity of Wasserstein spaces over Euclidean spheres

György Pál Gehér, Aranka Hrušková, Tamás Titkos +1

We study the structure of isometries of the quadratic Wasserstein space ${\mathcal{W}}_2\left({\mathbb{S}}^n,\Vert \cdot \Vert \right)$ over the sphere endowed with the distance inherited from…