Immersed free boundary minimal annuli
The Critical Catenoid is conjectured to be unique in the class of embedded free boundary minimal annuli in the unit ball. It is necessary to assume embeddedness here because there exist infinitely many free boundary minimal annuli with self-intersections.
- I. Fernández, L. Hauswirth and P. Mira, Free boundary minimal annuli immersed in the unit ball, preprint (arXiv:2208.14998).
- N. Kapouleas, P. McGrath, Free Boundary Minimal Annuli Immersed in the Unit 3-Ball, preprint (arXiv:2212.09680).