Gehér, György Pál; Hrušková, Aranka; Titkos, Tamás; … - 2025
We study the structure of isometries of the quadratic Wasserstein space W2(Sn, · )over the sphere endowed with the distance inherited from the norm of Rn+1. We prove that W2(Sn, · )is isometrically rigid, meaning that its isometry group is isomorphic to that of (Sn, · ). This is in striking...