Areli V'azquez Ju'arez

collaborators

3 papers

math.DG2026

On K-peak solutions for the Yamabe equation on product manifolds

Juan Miguel Ruiz, Areli Vázquez Juárez

Let $(M^{n}, g)$ and $(X^{m}, h)$ be closed manifolds $m, n > 2$ , such that $(X, h)$ has constant positive scalar curvature. We consider the one parameter family of products $(M\times X,…

math.DG2026

Isoperimetric estimates in the product of small and large volume manifolds

Juan Miguel Ruiz, Areli Vázquez Juárez

Let $(M^{m}, g)$ , $(N^{n}, h)$ be closed Riemannian manifolds, $m, n \geq 2$ , with concave isoperimetric profiles and volumes $V_{M}$ , $V_{N}$ respectively. We consider a one parameter family…

math.DG2023

Lower bounds for isoperimetric profiles and Yamabe constants

Juan Miguel Ruiz, Areli Vázquez Juárez

We estimate explicit lower bounds for the isoperimetric profiles of the Riemannian product of a compact manifold and the Euclidean space with the flat metric, $(M^m\times \mathbb{R…