Embeddedness of minimal surfaces with total boundary curvature at most 4 pi
By T. Ekholm, B. White, Daniel Wienholtz. 2004
83 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/873540123a8b736b3894e3a0cb0080f9e11d8c79
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- On the minimum ropelength of knots and links (2001, unknown): “The next lemma is due to Gromov [Gro, Thm. 8.2.A] and also appears as [ EWW , Thm.”
- Foliations and the Geometry of 3-Manifolds (2007, background): “(Ekholm–White–Wienholtz [64]): If Γ is a Jordan curve in R3 with total curvature at most 4π then any minimal surface with boundary Γ is embedded up to and including the boundary, with no interior branch points”