Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities
arXiv:2003.01784 · doi:10.1007/s00205-020-01593-5
Abstract
By employing the method of moving planes in a novel way we extend some classical symmetry and rigidity results for smooth minimal surfaces to surfaces that have singularities of the sort typically observed in soap films.
30 pages; an appendix about a maximum principle for geodesic nets has been added