Einstein metrics on the Ten-Sphere
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914946821914624 |
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| author | Nienhaus, Jan Wink, Matthias |
| author_facet | Nienhaus, Jan Wink, Matthias |
| contents | We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere $S^{10}.$ Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were $S^6$ and $S^8.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04832 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Einstein metrics on the Ten-Sphere Nienhaus, Jan Wink, Matthias Differential Geometry 53C25 (53C15, 53C20) We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere $S^{10}.$ Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were $S^6$ and $S^8.$ |
| title | Einstein metrics on the Ten-Sphere |
| topic | Differential Geometry 53C25 (53C15, 53C20) |
| url | https://arxiv.org/abs/2303.04832 |