10 citations · 20 across the 11 of their papers we have counts for
4 papers · 2 filters
Local removable singularity theorems for minimal laminations
William H. Meeks, Joaquin Perez, Antonio Ros
In this paper we prove a local removable singularity theorem for certain minimal laminations with isolated singularities in a Riemannian three-manifold. This removable singularity…
Constant mean curvature spheres in homogeneous three-spheres
William H. Meeks, Pablo Mira, Joaquin Perez +1
We give a complete classification of the immersed constant mean curvature spheres in a three-sphere with an arbitrary homogenous metric, by proving that for each ,…
Properly embedded minimal planar domains
William H. Meeks, Joaquin Perez, Antonio Ros
In 1997, Collin proved that any properly embedded minimal surface in with finite topology and more than one end has finite total Gaussian curvature. Hence, by an ear…
Isoperimetric domains of large volume in homogeneous three-manifolds
William H. Meeks, Pablo Mira, Joaquin Perez +1
Given a non-compact, simply connected homogeneous three-manifold and a sequence of isoperimetric domains in with volumes tending to infinity, we prove that as $…