Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group
arXiv:2205.04861
Abstract
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 , three boundary components and antiprismatic symmetry group of order .
final preprint version, to appear in Memoirs of the American Mathematical Society