Free boundary minimal Möbius bands in toroids
Abstract
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.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Advanced Numerical Analysis Techniques
Computational Geometry and Mesh Generation
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 7
- Pages
- 215–215
- Publication date
- 23 June 2026
- Language
- EN