On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus
Differential Geometry
2024-01-26 v1
Abstract
Given a sequence of properly embedded minimal surfaces in a -manifold with local bounds on area and genus, we prove subsequential convergence, smooth away from a discrete set, to a smooth embedded limit surface, possibly with multiplicity, and we analyze what happens when one blows up the surfaces near a point where the convergence is not smooth.
Keywords
Cite
@article{arxiv.1503.02190,
title = {On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus},
author = {Brian White},
journal= {arXiv preprint arXiv:1503.02190},
year = {2024}
}
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13 pages