On the long time behavior of ancient homogeneous Ricci flows
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912910365687808 |
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| author | Krishnan, Anusha M. Pediconi, Francesco |
| author_facet | Krishnan, Anusha M. Pediconi, Francesco |
| contents | We prove a precompactness theorem for invariant metrics on compact homogeneous spaces without injectivity radius bounds, assuming uniform bounds on the diameter and on all derivatives of the curvature tensor. As a consequence, we prove that every ancient homogeneous Ricci flow on a compact manifold admits a blow-down sequence that converges to a gradient shrinking Ricci soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15661 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the long time behavior of ancient homogeneous Ricci flows Krishnan, Anusha M. Pediconi, Francesco Differential Geometry 53C21, 53C30, 53E20, 57S15 We prove a precompactness theorem for invariant metrics on compact homogeneous spaces without injectivity radius bounds, assuming uniform bounds on the diameter and on all derivatives of the curvature tensor. As a consequence, we prove that every ancient homogeneous Ricci flow on a compact manifold admits a blow-down sequence that converges to a gradient shrinking Ricci soliton. |
| title | On the long time behavior of ancient homogeneous Ricci flows |
| topic | Differential Geometry 53C21, 53C30, 53E20, 57S15 |
| url | https://arxiv.org/abs/2602.15661 |