2 citations · 11 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations
Diego Corro, Fernando Galaz-García
We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space is a closed subgroup of the isometry group of . We obtain a sharp upper boun…
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…
Singular Riemannian Foliations, variational problems and Principles of Symmetric Criticalities
Marcos M. Alexandrino, Leonardo F. Cavenaghi, Diego Corro +1
A singular foliation on a complete Riemannian manifold is called Singular Riemannian foliation (SRF for short) if its leaves are locally equidistant, e.g., the pa…
Core reduction for singular Riemannian foliations in positive curvature
Diego Corro, Adam Moreno
We show that for a smooth manifold equipped with a singular Riemannian foliation, if the foliated metric has positive sectional curvature, and there exists a pre-section, that is a…
Short survey on the existence of slices for the space of Riemannian metrics
Diego Corro, Jan-Bernhard Kordaß
We review the well-known slice theorem of Ebin for the action of the diffeomorphism group on the space of Riemannian metrics of a closed manifold. We present advances in the study…
A-Foliations of codimension two on compact simply-connected manifolds
Diego Corro
We show that a singular Riemannian foliation of codimension two on a compact simply-connected Riemannian -manifold, with regular leaves homeomorphic to the -torus, is giv…
Torus actions on Alexandrov 4-spaces
Diego Corro, Jesús Núñez-Zimbrón, Masoumeh Zarei
We obtain an equivariant classification for orientable, closed, four-dimensional Alexandrov spaces admitting an isometric torus action. This generalizes the equivariant classificat…
Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions
Diego Corro, Fernando Galaz-Garcia
A gap in the proof of the main result in reference [1] in our original submission propagated into the constructions presented in the first version of our manuscript. In this versio…