Bifurcations of Clifford tori in ellipsoids
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909884843294720 |
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| author | Bettiol, Renato G. Piccione, Paolo |
| author_facet | Bettiol, Renato G. Piccione, Paolo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13758 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bifurcations of Clifford tori in ellipsoids Bettiol, Renato G. Piccione, Paolo Differential Geometry 53A10, 53C42, 58J55, 34C23, 35B32, 49Q05 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. |
| title | Bifurcations of Clifford tori in ellipsoids |
| topic | Differential Geometry 53A10, 53C42, 58J55, 34C23, 35B32, 49Q05 |
| url | https://arxiv.org/abs/2309.13758 |