Joaquín Pérez

activity

20052022

most citedParabolic stable surfaces with constant mean curvature

15 citations · 39 across the 17 of their papers we have counts for

collaborators

25 papers

math.DG2022

Geometry of CMC surfaces of finite index

William H. Meeks, Joaquin Perez

Given $r_{0} > 0$ , $I \in N \cup {0}$ and $K_{0}, H_{0} \geq 0$ , let $X$ be a complete Riemannian $3$ -manifold with injectivity radius $\mbox{Inj}(X)\geq r_0$ and with the supremum…

math.DG2022

Hierarchy structures in finite index CMC surfaces

William H. Meeks, Joaquin Perez

Given $ε_{0} > 0$ , $I \in N \cup {0}$ and $K_{0}, H_{0} \geq 0$ , let $X$ be a complete Riemannian $3$ -manifold with injectivity radius $\mbox{Inj}(X)\geq \varepsilon_0$ and…

math.DG2022

Geometry of branched minimal surfaces of finite index

William H. Meeks, Joaquin Perez

Given $I, B \in N \cup {0}$ , we investigate the existence and geometry of complete finitely branched minimal surfaces $M$ in $R^{3}$ with Morse index at most $I$ and…

math.DG2018

The embedded Calabi-Yau conjecture for finite genus

William H. Meeks, Joaquin Perez, Antonio Ros

Suppose $M$ is a complete, embedded minimal surface in $R^{3}$ with an infinite number of ends, finite genus and compact boundary. We prove that the simple limit ends of $M$ …

math.DG2017

Constant mean curvature spheres in homogeneous three-manifolds

William H. Meeks, Pablo Mira, Joaquin Perez +1

We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean…

math.DG2016★ 1 cited

The geometry of stable minimal surfaces in metric Lie groups

William H. Meeks, Pablo Mira, Joaquin Perez

We study geometric properties of compact stable minimal surfaces with boundary in homogeneous 3-manifolds $X$ that can be expressed as a semidirect product of $R^{2}$ with $…