W. Meeks

activity

20022022

most citedCurvature estimates for constant mean curvature surfaces

14 citations · 80 across the 29 of their papers we have counts for

collaborators

45 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.GT2020★ 2 cited

Modifications Preserving Hyperbolicity of Link Complements

Colin Adams, William H. Meeks, Álvaro K. Ramos

Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to the link, called the chain move and the switch move, that preserve hyperbolicit…

math.DG2020★ 1 cited

A nonexistence result for CMC surfaces in hyperbolic 3-manifolds

William H. Meeks, Alvaro K. Ramos

We prove that a complete hyperbolic 3-manifold of finite volume does not admit a properly embedded noncompact surface of finite topology with constant mean curvature greater than o…

math.DG2020★ 2 cited

Totally umbilic surfaces in hyperbolic 3-manifolds of finite volume

Colin Adams, William H. Meeks, Alvaro K. Ramos

We construct for every connected surface $S$ of finite negative Euler characteristic and every $H \in [0, 1)$ , a hyperbolic 3-manifold $N (S, H)$ of finite volume and a proper, two-si…