Non-existence of cohomogeneity one Einstein metrics of two summands
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910937391300608 |
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| author | Chi, Hanci |
| author_facet | Chi, Hanci |
| contents | We prove the non-existence of cohomogeneity one Einstein metrics on a class of compact manifolds arising as double disk bundles, whose principal orbits split into two inequivalent irreducible summands. The proof uses a phase space barrier argument that yields a new obstruction to the existence of closed cohomogeneity one Einstein metrics, even when the principal orbits admit homogeneous Einstein metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of cohomogeneity one Einstein metrics of two summands Chi, Hanci Differential Geometry 53C25 We prove the non-existence of cohomogeneity one Einstein metrics on a class of compact manifolds arising as double disk bundles, whose principal orbits split into two inequivalent irreducible summands. The proof uses a phase space barrier argument that yields a new obstruction to the existence of closed cohomogeneity one Einstein metrics, even when the principal orbits admit homogeneous Einstein metrics. |
| title | Non-existence of cohomogeneity one Einstein metrics of two summands |
| topic | Differential Geometry 53C25 |
| url | https://arxiv.org/abs/2505.06631 |