Jaime Santos-Rodr'iguez

activity

20212025

collaborators

5 papers

math.DG2025

Non-collapsed eGH convergence and dimension

Jesús Núñez-Zimbrón, Jaime Santos-Rodríguez, Sergio Zamora

Let $(X_{i}, p_{i})$ be a non-collapsing sequence of pointed $n$ -dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, and $G_{i} \leq Iso (X_{i})$ a…

math.MG2024

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 $p$ -Wasserstein space. We prove that spaces that split a separable Hilbert spa…

math.MG2024

Cohomogeneity one RCD-spaces

Diego Corro, Jesús Núñez-Zimbrón, Jaime Santos-Rodríguez

We study $RCD$ -spaces $(X, d, m)$ with group actions by isometries preserving the reference measure $m$ and whose orbit space has dimension one, i.e. c…

math.MG2023

On the reach of isometric embeddings into Wasserstein type spaces

Javier Casado, Manuel Cuerno, Jaime Santos-Rodríguez

We study the reach (in the sense of Federer) of the natural isometric embedding $X ↪ W_{p} (X)$ of $X$ inside its $p$ -Wasserstein space, where $(X, dist)$ i…

math.MG2021

Isometric Rigidity of compact Wasserstein spaces

Jaime Santos-Rodríguez

Let $(X, d, m)$ be a metric measure space. The study of the Wasserstein space $(P_{p} (X), W_{p})$ associated to $X$ has proved useful in describing several ge…