Diego Corro

collaborators

5 papers

math.DG2026

Singular Riemannian Foliations, variational problems and Principles of Symmetric Criticalities

Marcos M. Alexandrino, Leonardo F. Cavenaghi, Diego Corro +1

A singular foliation $F$ on a complete Riemannian manifold $M$ is called Singular Riemannian foliation (SRF for short) if its leaves are locally equidistant, e.g., the pa…

math.DG2026

Collapsing regular Riemannian foliations with flat leaves

Diego Corro

In this manuscript we present how to collapse a manifold equipped with a closed flat regular Riemannian foliation with leaves of positive dimension, while keeping the sectional cur…

math.DG2025

Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations

Diego Corro, Fernando Galaz-GarcÃa

We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space $X$ is a closed subgroup of the isometry group of $X$ . We obtain a sharp upper boun…

math.MG2025

Cohomogeneity one RCD-spaces

Diego Corro, JesÃºs NÃºÃ±ez-ZimbrÃ³n, Jaime Santos-RodrÃguez

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.DG2025

Ricci flow from singular spaces with bounded curvature

Diego Corro, Masoumeh Zarei, Adam Moreno

We show the existence of a solution to the Ricci flow with a compact length space of bounded curvature, i.e., a space that has curvature bounded above and below in the sense of Ale…