Embeddedness of minimal surfaces with total boundary curvature at most 4\pi
Differential Geometry
2007-05-23 v1
Abstract
This paper proves that classical minimal surfaces of arbitrary topological type with total boundary curvature at most 4\pi must be smoothly embedded. Related results are proved for varifolds and for soap film surfaces.
Cite
@article{arxiv.math/0405483,
title = {Embeddedness of minimal surfaces with total boundary curvature at most 4\pi},
author = {Tobias Ekholm and Brian White and Daniel Wienholtz},
journal= {arXiv preprint arXiv:math/0405483},
year = {2007}
}
Comments
26 pages, published version