Free boundary minimal M\"obius bands in toroids
Differential Geometry
2024-10-10 v1
Abstract
We prove that strictly mean convex toroids contain infinitely many (geometrically distinct) embedded free boundary minimal M\"obius 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.
Keywords
Cite
@article{arxiv.2410.05781,
title = {Free boundary minimal M\"obius bands in toroids},
author = {Mario B. Schulz},
journal= {arXiv preprint arXiv:2410.05781},
year = {2024}
}
Comments
19 pages, 8 figures