2 papers
math.DG2026
Rigidity of Wasserstein spaces over Riemannian manifolds
David Lenze
We show that L2 Wasserstein spaces over Riemannian manifolds are isometrically rigid if and only if their underlying Riemannian manifolds do not admit a Euclidean de Rham factor. W…
math.MG2025
Isometries of the Ebin metric
David Lenze
We study the space of Riemannian metrics over a compact manifold equipped with the Ebin metric. We characterize its self-isometries and prove that two such spaces are isometric if…