Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group
Alessandro Carlotto, Mario B. Schulz, David Wiygul · arXiv (Cornell University) · 2022
The topology and symmetry group of a free boundary minimal surface in the three-dimensional Euclidean unit ball do not determine the surface uniquely. We provide pairs of non-isometric free boundary minimal surfaces having any sufficiently large genus $g$, three boundary components and antiprismatic symmetry group of order $4(g+1)$.