Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$
Differential Geometry
2025-02-28 v1
Abstract
We construct a countable collection of one-parameter families of non-rotational minimal annuli with free boundary in geodesic balls of hyperbolic 3-space. Every surface within a given family shares a common prismatic symmetry group, and they appear as bifurcations from certain free boundary hyperbolic catenoids.
Keywords
Cite
@article{arxiv.2502.20303,
title = {Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$},
author = {Alberto Cerezo},
journal= {arXiv preprint arXiv:2502.20303},
year = {2025}
}
Comments
43 pages, 5 figures