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 4(g+1).
Infinitely Many Pairs of Free Boundary Minimal Surfaces with the Same Topology and Symmetry Group / Carlotto, Alessandro; Schulz, Mario; Wiygul, David. - 313:(2025), pp. 1-127. [10.1090/memo/1591]
Infinitely Many Pairs of Free Boundary Minimal Surfaces with the Same Topology and Symmetry Group
Carlotto, Alessandro;Schulz, Mario;Wiygul, David
2025-01-01
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 4(g+1).File in questo prodotto:
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