Bifurcations of Clifford tori in ellipsoids
Differential Geometry
2025-11-05 v2
Abstract
We prove that 3-dimensional ellipsoids invariant under a 2-torus action contain infinitely many distinct immersed minimal tori, with at most one exception. These minimal tori bifurcate from the 2-torus orbit of largest volume at a dense set of eccentricities, and remain invariant under a circle.
Cite
@article{arxiv.2309.13758,
title = {Bifurcations of Clifford tori in ellipsoids},
author = {Renato G. Bettiol and Paolo Piccione},
journal= {arXiv preprint arXiv:2309.13758},
year = {2025}
}
Comments
LaTeX2e, 13 pages, 2 figures, final (revised) version. To appear in Math. Res. Lett