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

Autor:	Carlotto, Alessandro, Schulz, Mario B., Wiygul, David
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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 $4(g+1)$. Comment: final preprint version, to appear in Memoirs of the American Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.04861 Zobrazit plný text záznamu View this record from Arxiv