Local removable singularity theorems for minimal laminations
Differential Geometry
2013-08-30 v1
Abstract
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 theorem is the key result used in our proof that a complete, embedded minimal surface in with quadratic decay of curvature has finite total curvature.
Cite
@article{arxiv.1308.6439,
title = {Local removable singularity theorems for minimal laminations},
author = {William H. Meeks and Joaquin Perez and Antonio Ros},
journal= {arXiv preprint arXiv:1308.6439},
year = {2013}
}
Comments
41 pages, 8 figures