Long-time behavior of awesome homogeneous Ricci flows
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916827338113024 |
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| author | Araujo, Roberto |
| author_facet | Araujo, Roberto |
| contents | We show that the set of awesome homogeneous metrics on non-compact manifolds is Ricci flow invariant. Moreover, if the universal cover of such awesome homogeneous space is not contractible the Ricci flow has finite extinction time, confirming the Dynamical Alekseevskii Conjecture in this case. We also analyze the long-time limits of awesome homogeneous Ricci flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16517 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Long-time behavior of awesome homogeneous Ricci flows Araujo, Roberto Differential Geometry 53C44, 53C30 We show that the set of awesome homogeneous metrics on non-compact manifolds is Ricci flow invariant. Moreover, if the universal cover of such awesome homogeneous space is not contractible the Ricci flow has finite extinction time, confirming the Dynamical Alekseevskii Conjecture in this case. We also analyze the long-time limits of awesome homogeneous Ricci flows. |
| title | Long-time behavior of awesome homogeneous Ricci flows |
| topic | Differential Geometry 53C44, 53C30 |
| url | https://arxiv.org/abs/2312.16517 |