Embeddedness of minimal surfaces with total boundary curvature at most 4 pi
Embeddedness of minimal surfaces with total boundary curvature at most 4 pi
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总边界曲率至多 4 pi 的最小曲面的嵌入
DOI：
10.2307/3062155
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发表时间：
2004
影响因子：
4.9
通讯作者：
Daniel Wienholtz
中科院分区：
文献类型：
--
作者：
T. Ekholm;B. White;Daniel Wienholtz
本文证明了全边界曲率不超过47r的任意拓扑型的经典极小曲面必须光滑嵌入。相关结果证明了varifolds和肥皂膜表面。
This paper proves that classical minimal surfaces of arbitrary topological type with total boundary curvature at most 47r must be smoothly embedded. Related results are proved for varifolds and for soap film surfaces.