Free Boundary Minimal Annuli Immersed in the Unit 3-Ball
arXiv:2212.09680
Abstract
Using the linearized doubling methodology we carry out a PDE gluing construction of a discrete family of non-rotational properly immersed free boundary minimal annuli in the Euclidean unit 3-ball. The surfaces we construct resemble equatorial disks joined by half-catenoidal bridges at the boundary.
23 pages