Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities
Analysis of PDEs
2020-12-02 v2 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.2003.01784,
title = {Symmetry and Rigidity of Minimal Surfaces with Plateau-like Singularities},
author = {Jacob Bernstein and Francesco Maggi},
journal= {arXiv preprint arXiv:2003.01784},
year = {2020}
}
Comments
30 pages; an appendix about a maximum principle for geodesic nets has been added