Dynamical functionals on ancient ARF Ricci flows
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912707230302208 |
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| author | Lopez, Isaac M. Schillmoeller, Rio |
| author_facet | Lopez, Isaac M. Schillmoeller, Rio |
| contents | We introduce a dynamical energy functional on compact ancient asymptotically Ricci-flat Ricci flows with modest decay using limits of conjugate heat flows. This functional satisfies a steady Ricci breather-type rigidity and provides an upper bound for the ordinary $λ$-functional while retaining many of its properties. In addition, motivated by work of Colding and Minicozzi, we derive local eigenvalue estimates for normalized Ricci flows coupled with conjugate heat flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical functionals on ancient ARF Ricci flows Lopez, Isaac M. Schillmoeller, Rio Differential Geometry Analysis of PDEs We introduce a dynamical energy functional on compact ancient asymptotically Ricci-flat Ricci flows with modest decay using limits of conjugate heat flows. This functional satisfies a steady Ricci breather-type rigidity and provides an upper bound for the ordinary $λ$-functional while retaining many of its properties. In addition, motivated by work of Colding and Minicozzi, we derive local eigenvalue estimates for normalized Ricci flows coupled with conjugate heat flows. |
| title | Dynamical functionals on ancient ARF Ricci flows |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2511.10460 |