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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1901.06370 |
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| _version_ | 1866911967010095104 |
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| author | Gluck, Herman Yang, Jingye |
| author_facet | Gluck, Herman Yang, Jingye |
| contents | It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact structure, in fact a tight one, but we show here that, beginning with the 5-sphere, there exist smooth great circle fibrations of all odd-dimensional spheres for which the hyperplane distribution orthogonal to the fibres is not a contact structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_06370 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres Gluck, Herman Yang, Jingye Differential Geometry Geometric Topology 53A07, 53C12, 53D10, 55R10 It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact structure, in fact a tight one, but we show here that, beginning with the 5-sphere, there exist smooth great circle fibrations of all odd-dimensional spheres for which the hyperplane distribution orthogonal to the fibres is not a contact structure. |
| title | Great Circle Fibrations and Contact Structures on Odd-Dimensional Spheres |
| topic | Differential Geometry Geometric Topology 53A07, 53C12, 53D10, 55R10 |
| url | https://arxiv.org/abs/1901.06370 |