Instability of conformally Kähler, Einstein metrics
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866910819276554240 |
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| author | Biquard, Olivier Ozuch, Tristan |
| author_facet | Biquard, Olivier Ozuch, Tristan |
| contents | We prove the instability of conformally Kähler, compact or ALF Einstein 4-manifolds with nonnegative scalar curvature which are not half conformally flat. This applies to all the known examples of gravitational instantons which are not hyperKähler and to the Chen-Lebrun-Weber metric in particular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10109 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Instability of conformally Kähler, Einstein metrics Biquard, Olivier Ozuch, Tristan Differential Geometry We prove the instability of conformally Kähler, compact or ALF Einstein 4-manifolds with nonnegative scalar curvature which are not half conformally flat. This applies to all the known examples of gravitational instantons which are not hyperKähler and to the Chen-Lebrun-Weber metric in particular. |
| title | Instability of conformally Kähler, Einstein metrics |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2310.10109 |