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- Title
Einstein Metrics on Bundles over Hyperkähler Manifolds.
- Authors
Fowdar, Udhav
- Abstract
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.
- Subjects
EINSTEIN, Albert, 1879-1955; HERMITIAN structures; EINSTEIN manifolds; SYMMETRY
- Publication
Communications in Mathematical Physics, 2023, Vol 403, Issue 1, p1
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-023-04809-3