Embeddedness of minimal surfaces with total boundary curvature at most 4π
classification
🧮 math.DG
keywords
surfacesboundarycurvatureminimaltotalarbitraryclassicalembedded
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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.
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