Juan Miguel Ruiz

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20082026

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8 papers · 1 filter

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…

math.DG2020

Isoperimetric estimates in low dimensional Riemannian products

Juan Miguel Ruiz, Areli Vazquez Juarez

Let $(T^{k}, h_{k}) = (S_{r_{1}}^{1} \times S_{r_{2}}^{1} \times ... \times S_{r_{k}}^{1}, d t_{1}^{2} + d t_{2}^{2} + ... + d t_{k}^{2})$ be flat tori, $r_{k} \geq ... \geq r_{2} \geq r_{1} > 0$ and $(R^{n}, g_{E})$ the Euclidea…

math.DG2016

Multiplicity of constant scalar curvature metrics on warped products

Juan Miguel Ruiz

Let $(M^{m}, g_{M})$ be a closed, connected manifold with positive scalar curvature and $(T^{k}, g)$ some flat $k$ -Torus of unit volume. By a result of F. Dobarro and E. Lami Dozo, there e…

math.DG2015

Stable solutions of the Yamabe equation on non-compact manifolds

Jimmy Petean, Juan Miguel Ruiz

We consider the Yamabe equation on a complete non-compact Riemannian manifold and study the condition of stability of solutions. If $(M^{m}, g)$ is a closed manifold of constant posit…