Free boundary minimal Möbius bands in toroids
arXiv:2410.05781
Abstract
We prove that strictly mean convex toroids contain infinitely many (geometrically distinct) embedded free boundary minimal Möbius bands as well as infinitely many embedded free boundary minimal annuli. The surfaces in both families are constructed by means of equivariant variational methods and their areas grow linearly with the order of their symmetry groups.
19 pages, 8 figures