The complex structure on the six dimensional sphere
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866912058761543680 |
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| author | Etesi, Gabor |
| author_facet | Etesi, Gabor |
| contents | Proof of existence of a complex structure on the six-sphere, followed by an explicit computation of its underlying integrable almost complex tensor by the aid of inner automorphisms of the octonions, is exhibited. Both are elementary and self-contained however the size and complexity of the emerging almost complex tensor field on the six-sphere is perplexing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_02300 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | The complex structure on the six dimensional sphere Etesi, Gabor Differential Geometry Algebraic Geometry Primary: 32J17, 32J25, Secondary: 22C05, 53C56 Proof of existence of a complex structure on the six-sphere, followed by an explicit computation of its underlying integrable almost complex tensor by the aid of inner automorphisms of the octonions, is exhibited. Both are elementary and self-contained however the size and complexity of the emerging almost complex tensor field on the six-sphere is perplexing. |
| title | The complex structure on the six dimensional sphere |
| topic | Differential Geometry Algebraic Geometry Primary: 32J17, 32J25, Secondary: 22C05, 53C56 |
| url | https://arxiv.org/abs/1509.02300 |