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Reveals multiple free boundary minimal Möbius bands in toroidal structures, suggesting new geometrical insights.
We prove that round, strictly mean convex toroids of revolution 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.
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Mario B. Schulz (2026) studied this question.
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