Infinitely many families of Sasaki-Einstein metrics on spheres
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866916273983586304 |
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| author | Liu, Yuchen Sano, Taro Tasin, Luca |
| author_facet | Liu, Yuchen Sano, Taro Tasin, Luca |
| contents | We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizable manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_08468 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Infinitely many families of Sasaki-Einstein metrics on spheres Liu, Yuchen Sano, Taro Tasin, Luca Differential Geometry Algebraic Geometry We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizable manifolds. |
| title | Infinitely many families of Sasaki-Einstein metrics on spheres |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2203.08468 |