Luis Guijarro

activity

20142024

collaborators

4 papers

math.AP2024

Homogenization on parallelizable Riemannian manifolds

Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1

We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold $(M, g, Γ)$ . We replicate the concept of…

math.GT2023

Decompositions of three-dimensional Alexandrov spaces

Luis Atzin Franco Reyna, Fernando Galaz-García, José Carlos Gómez-Larrañaga +2

We extend basic results in $3$ -manifold topology to general three-dimensional Alexandrov spaces (or Alexandrov $3$ -spaces for short), providing a unified framework for manifold and…

math.DG2016

Riemannian Rigidity of the Parallel Postulate in Total Curvature

Jian Ge, Luis Guijarro, Pedro Solórzano

We prove that the Euclidean plane is the only Riemannian plane with total curvature and free of conjugate points that satisfies Playfair's version of the parallel postulate.

math.DG2014

Every point in a Riemmanian manifold is critical

Fernando Galaz-Garcia, Luis Guijarro

We show that for any point $p$ in a closed Riemannian manifold $M$ , there exists at least one point $q \in M$ such that $p$ is critical for the distance function from $q$ . We also s…