8 papers
On spaces with nonnegative curvature outside a compact set
Mauricio Che, Jesús Núñez-Zimbrón
In this paper we adapt work of Z.-D. Liu to prove a ball covering property for non-branching spaces with nonnegative curvature outside a compact set. As a consequence…
The behavior of harmonic functions at singular points of spaces
Guido De Philippis, Jesús Núñez-Zimbrón
In this note we investigate the behavior of harmonic functions at singular points of spaces. In particular we show that their gradient vanishes at all points wh…
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…
On topological rigidity of Alexandrov -spaces
Noé Bárcenas, Jesús Núñez-Zimbrón
In this note we prove the Borel Conjecture for closed, irreducible and sufficiently collapsed three-dimensional Alexandrov spaces. We also pose several questions related to charact…
Maximal volume entropy rigidity for spaces
Chris Connell, Xianzhe Dai, Jesús Núñez-Zimbrón +3
For -dimensional Riemannian manifolds with Ricci curvature bounded below by , the volume entropy is bounded above by . If is compact, it is known that the e…
Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric
Fernando Galaz-Garcia, Luis Guijarro, Jesús Núñez-Zimbrón
We prove that sufficiently collapsed, closed and irreducible three-dimensional Alexandrov spaces are modeled on one of the eight three-dimensional Thurston geometries. This extends…