Nonplanar minimal spheres in ellipsoids of revolution
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911247619850240 |
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| author | Bettiol, Renato G. Piccione, Paolo |
| author_facet | Bettiol, Renato G. Piccione, Paolo |
| contents | We use global bifurcation techniques to establish the existence of arbitrarily many geometrically distinct nonplanar embedded smooth minimal 2-spheres in sufficiently elongated 3-dimensional ellipsoids of revolution. More precisely, we quantify the growth rate of the number of such minimal spheres, and describe their asymptotic behavior as the ellipsoids converge to a cylinder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_14995 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Nonplanar minimal spheres in ellipsoids of revolution Bettiol, Renato G. Piccione, Paolo Differential Geometry 53A10, 53C42, 58J55, 34B24, 34C23, 35B32, 49Q05 We use global bifurcation techniques to establish the existence of arbitrarily many geometrically distinct nonplanar embedded smooth minimal 2-spheres in sufficiently elongated 3-dimensional ellipsoids of revolution. More precisely, we quantify the growth rate of the number of such minimal spheres, and describe their asymptotic behavior as the ellipsoids converge to a cylinder. |
| title | Nonplanar minimal spheres in ellipsoids of revolution |
| topic | Differential Geometry 53A10, 53C42, 58J55, 34B24, 34C23, 35B32, 49Q05 |
| url | https://arxiv.org/abs/2111.14995 |