Bifurcations of Clifford tori in ellipsoids
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Geometric and Algebraic Topology
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Mathematical Research Letters
- Publisher
- International Press of Boston
- Volume
- 33
- Issue
- 2
- Pages
- 471–489
- Publication date
- 1 January 2026
- Language
- EN