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arXiv · 2205.04861

Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group

Alessandro Carlotto·Mario B. Schulz·David Wiygul
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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 $g$, three boundary components and antiprismatic symmetry group of order $4(g+1)$.

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Alessandro Carlotto, Mario B. Schulz, David Wiygul. 2022-05-10. Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group. https://arxiv.org/abs/2205.04861

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