Einstein metrics on bundles over hyperKähler manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866910675342721024 |
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| author | Fowdar, Udhav |
| author_facet | Fowdar, Udhav |
| contents | We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. We study the infinitesimal symmetries of these examples and the associated Galicki-Lawson quaternion-Kähler moment map. By performing the QK reduction we produce several explicit QK metrics. Moreover we are led to a new proof of a hyperKähler/quaternion-Kähler type correspondence. We also give examples of other Einstein metrics and balanced Hermitian structures on these bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_04254 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Einstein metrics on bundles over hyperKähler manifolds Fowdar, Udhav Differential Geometry 53C10, 53C26, 53C55 We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. We study the infinitesimal symmetries of these examples and the associated Galicki-Lawson quaternion-Kähler moment map. By performing the QK reduction we produce several explicit QK metrics. Moreover we are led to a new proof of a hyperKähler/quaternion-Kähler type correspondence. We also give examples of other Einstein metrics and balanced Hermitian structures on these bundles. |
| title | Einstein metrics on bundles over hyperKähler manifolds |
| topic | Differential Geometry 53C10, 53C26, 53C55 |
| url | https://arxiv.org/abs/2105.04254 |