Equivariant free boundary minimal discs and annuli in ellipsoids

2024/06/19 by Schulz, Mario B.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.13465

Abstract

We employ equivariant variational methods to construct new examples of nonplanar free boundary minimal discs in ellipsoids. We also prove that every ellipsoid contains at least three distinct embedded free boundary minimal annuli with dihedral symmetry.

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