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arXiv · 2309.13758

Bifurcations of Clifford tori in ellipsoids

Renato G. Bettiol·Paolo Piccione
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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.

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Renato G. Bettiol, Paolo Piccione. 2023-09-24. Bifurcations of Clifford tori in ellipsoids. https://arxiv.org/abs/2309.13758

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