Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914889952395264 |
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| author | Stolarski, Maxwell |
| author_facet | Stolarski, Maxwell |
| contents | Given an asymptotically conical, shrinking, gradient Ricci soliton, we show that there exists a Ricci flow solution on a closed manifold that forms a finite-time singularity modeled on the given soliton. No symmetry or Kahler assumptions on the soliton are required. The proof provides a precise asymptotic description of the singularity formation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_03386 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers Stolarski, Maxwell Differential Geometry Analysis of PDEs 53E20 Given an asymptotically conical, shrinking, gradient Ricci soliton, we show that there exists a Ricci flow solution on a closed manifold that forms a finite-time singularity modeled on the given soliton. No symmetry or Kahler assumptions on the soliton are required. The proof provides a precise asymptotic description of the singularity formation. |
| title | Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers |
| topic | Differential Geometry Analysis of PDEs 53E20 |
| url | https://arxiv.org/abs/2202.03386 |