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.
References
- I. Fernández, L. Hauswirth and P. Mira, Free Boundary Minimal Annuli Immersed in the Unit Ball, Arch Rational Mech Anal 247, 108 (2023).
- N. Kapouleas, P. McGrath, Free Boundary Minimal Annuli Immersed in the Unit 3-Ball, preprint (arXiv:2212.09680).
prismatic symmetry of order 20
prismatic symmetry of order 28
prismatic symmetry of order 32
prismatic symmetry of order 36
prismatic symmetry of order 44
prismatic symmetry of order 48
prismatic symmetry of order 68
prismatic symmetry of order 68