Embeddedness of minimal surfaces with total boundary curvature at most 4π

• 成果类型: Article
• 署名作者: Ekholm, T; White, B; Wienholtz, D
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/3062155
• 发表日期: 2002
• 页码: 209-234
• 关键词: plateau-douglas problem; RIEMANNIAN-MANIFOLDS; minimizing surfaces; stationary; REGULARITY; varifold; PROOF

摘要

This paper proves that classical minimal surfaces of arbitrary topological type with total boundary curvature at most 4pi must be smoothly embedded. Related results are proved for varifolds and for soap film surfaces.