Singularity Types for Long-Time Chern-Ricci Flow
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916367406465024 |
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| author | Wondo, Hosea |
| author_facet | Wondo, Hosea |
| contents | We extend some results known for the Kähler-Ricci flow to the Chern-Ricci flow regarding the independence of singularity types for long-time solutions. Specifically, we show that if a solution to the Chern-Ricci flow exists with uniformly bounded torsion and curvature, then any other solution starting from an initial metric of the same $\partial \bar{\partial}$ class will also exhibit uniform bounds on torsion and curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singularity Types for Long-Time Chern-Ricci Flow Wondo, Hosea Differential Geometry We extend some results known for the Kähler-Ricci flow to the Chern-Ricci flow regarding the independence of singularity types for long-time solutions. Specifically, we show that if a solution to the Chern-Ricci flow exists with uniformly bounded torsion and curvature, then any other solution starting from an initial metric of the same $\partial \bar{\partial}$ class will also exhibit uniform bounds on torsion and curvature. |
| title | Singularity Types for Long-Time Chern-Ricci Flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.12797 |