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arXiv · 1308.6439

Local removable singularity theorems for minimal laminations

William H. Meeks III·Joaquin Perez·Antonio Ros
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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 $\mathbb{R}^3$ with quadratic decay of curvature has finite total curvature.

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William H. Meeks III, Joaquin Perez, Antonio Ros. 2013-08-29. Local removable singularity theorems for minimal laminations. https://arxiv.org/abs/1308.6439

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