Equivariant free boundary minimal discs and annuli in ellipsoids
Differential Geometry
2024-09-04 v2
Abstract
We employ equivariant variational methods to construct new examples of nonplanar free boundary minimal discs in ellipsoids. We also prove that every ellipsoid contains at least three distinct embedded free boundary minimal annuli with dihedral symmetry.
Keywords
Cite
@article{arxiv.2406.13465,
title = {Equivariant free boundary minimal discs and annuli in ellipsoids},
author = {Mario B. Schulz},
journal= {arXiv preprint arXiv:2406.13465},
year = {2024}
}
Comments
15 pages, 3 figures