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<p>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.</p>

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Free boundary minimal Möbius bands in toroids

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Mario B. Schulz

摘要

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.