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math.MG2023★ 2 cited
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 over the sphere endowed with the distance inherited from…
math.MG2023
Isometric rigidity of the Wasserstein space over Carnot groups
Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek
This paper aims to study isometries of the -Wasserstein space over Carnot groups endowed with horizontally strictly convex norms. Well-known examples…
math.MG2023★ 4 cited
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 -Wasserstein space over the Heisenberg group for al…