Abstract
ForC 4-embedded manifoldsS ⊂ ℝ3 which are differmorphic to the standard sphere in ℝ3 the existence of non-constant minimal surfaces bounded byS and intersectingS orthogonally along their boundaries is deduced.
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This research was supported by the Sonderforschungsbereich 72 of the Deutsche-Forschungs-Gemeinschaft
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Struwe, M. On a free boundary problem for minimal surfaces. Invent Math 75, 547–560 (1984). https://doi.org/10.1007/BF01388643
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DOI: https://doi.org/10.1007/BF01388643