Manifold with infinitely many fibrations over the sphere
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916556549652480 |
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| author | Jelonek, Włodzimierz Jelonek, Zbigniew |
| author_facet | Jelonek, Włodzimierz Jelonek, Zbigniew |
| contents | We show that the manifold $X=S^2\times S^3$ has infinitely many structures of a fiber bundle over the base $B=S^2.$ In fact for every lens space $L(p,1)$ there is a fibration $L(p,1)\to X\to B.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Manifold with infinitely many fibrations over the sphere Jelonek, Włodzimierz Jelonek, Zbigniew Differential Geometry We show that the manifold $X=S^2\times S^3$ has infinitely many structures of a fiber bundle over the base $B=S^2.$ In fact for every lens space $L(p,1)$ there is a fibration $L(p,1)\to X\to B.$ |
| title | Manifold with infinitely many fibrations over the sphere |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.01476 |