总边界曲率不超过 4\pi 的极小曲面的嵌入性
微分几何
2007-05-23 v1
摘要
本文证明了总边界曲率不超过 4\pi 的任意拓扑型的经典极小曲面必为光滑嵌入。对 varifold 与皂膜曲面也证明了相关结果。
引用
@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}
}
备注
26 pages, published version