Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group

Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek

Our purpose in this paper is to study isometries and isometric embeddings of the $p$-Wasserstein space ${\mathcal{W}}_p({\mathbb{H}}^n)$ over the Heisenberg group ${\mathbb{H}}^n$ for al…