Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910877282729984 |
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| author | Angenent, Sigurd B. Knopf, Dan |
| author_facet | Angenent, Sigurd B. Knopf, Dan |
| contents | Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12210 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions Angenent, Sigurd B. Knopf, Dan Differential Geometry 35C08, 35K59, 53C21 Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations. |
| title | Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions |
| topic | Differential Geometry 35C08, 35K59, 53C21 |
| url | https://arxiv.org/abs/2503.12210 |