Embeddedness of minimal surfaces with total boundary curvature at most $4\pi$

Abstract

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.

DOI: 10.2307/3062155

Authors

Tobias Ekholm

Brian White

Daniel Wienholtz