论文标题

与相同拓扑组和对称组的无限多对自由边界最小表面

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

论文作者

Carlotto, Alessandro, Schulz, Mario B., Wiygul, David

论文摘要

三维欧几里得单位球中自由边界最小表面的拓扑和对称组并不能独特地确定表面。我们提供成对的非等法不合力边界最小表面,具有任何足够大的属$ g $,三个边界组件和抗抗激素对称组的订单$ 4(g+1)$。

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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