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

Tobias Ekholm; Brian White; Daniel Wienholtz

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

Tobias Ekholm·Brian White·Daniel Wienholtz

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Abstract

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

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BibTeX RIS

Tobias Ekholm, Brian White, Daniel Wienholtz. 2004-05-25. Embeddedness of minimal surfaces with total boundary curvature at most 4π. https://arxiv.org/abs/math/0405483

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