4 papers
Non-collapsed eGH convergence and dimension
Jesús Núñez-Zimbrón, Jaime Santos-Rodríguez, Sergio Zamora
Let be a non-collapsing sequence of pointed -dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, and a…
Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces
Mauricio Che, Fernando Galaz-García, Martin Kerin +1
In this paper we study the isometric rigidity of certain classes of metric spaces with respect to the -Wasserstein space. We prove that spaces that split a separable Hilbert spa…
Cohomogeneity one RCD-spaces
Diego Corro, Jesús Núñez-Zimbrón, Jaime Santos-Rodríguez
We study -spaces with group actions by isometries preserving the reference measure and whose orbit space has dimension one, i.e. c…
Isometric Rigidity of compact Wasserstein spaces
Jaime Santos-Rodríguez
Let be a metric measure space. The study of the Wasserstein space associated to has proved useful in describing several ge…