13 citations · 42 across the 9 of their papers we have counts for
10 papers
Group Actions on Aspherical Alexandrov Spaces
Noé Bárcenas, Jesús Núñez-Zimbrón
Conner and Raymond proved that if a connected, compact Lie group acts effectively on a closed aspherical manifold , then is a torus and the fundamental group of inje…
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…
A generalized tetrahedral property
Jesús Nuñez-Zimbrón, Raquel Perales
We present examples of metric spaces that are not Riemannian manifolds nor dimensionally homogeneous that satisfy the Tetrahedral Property. In spite of that, Euclidean cones over m…
Three-dimensional Alexandrov spaces with local isometric circle actions
Fernando Galaz-Garcia, Jesús Núñez-Zimbrón
We obtain a topological and equivariant classification of closed, connected three-dimensional Alexandrov spaces admitting a local isometric circle action. We show, in particular, t…
Closed three-dimensional Alexandrov spaces with isometric circle actions
Jesús Núñez-Zimbrón
We obtain a topological and weakly equivariant classification of closed three-dimensional Alexandrov spaces with an effective isometric circle action. As an application of the clas…