Infinitely many non-collapsed steady Ricci solitons on complex line bundles
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910053157568512 |
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| author | Chi, Hanci |
| author_facet | Chi, Hanci |
| contents | We construct a continuous 3-parameter family of non-shrinking Ricci solitons complex line bundles $O(k)$ over $\mathbb{CP}^{2m+1}$, where the base space is not necessarily Kähler--Einstein. Each $O(k)$ with $k\in [3,2m+1]$ admits at least one asymptotically conical (AC) Ricci-flat metric in this family. For each $O(k)$ with $k\geq 3$, the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinitely many non-collapsed steady Ricci solitons on complex line bundles Chi, Hanci Differential Geometry 53E20 (primary), 53C25 (secondary) We construct a continuous 3-parameter family of non-shrinking Ricci solitons complex line bundles $O(k)$ over $\mathbb{CP}^{2m+1}$, where the base space is not necessarily Kähler--Einstein. Each $O(k)$ with $k\in [3,2m+1]$ admits at least one asymptotically conical (AC) Ricci-flat metric in this family. For each $O(k)$ with $k\geq 3$, the family includes infinitely many asymptotically paraboloidal (AP) steady Ricci soliton. |
| title | Infinitely many non-collapsed steady Ricci solitons on complex line bundles |
| topic | Differential Geometry 53E20 (primary), 53C25 (secondary) |
| url | https://arxiv.org/abs/2412.16907 |