Einstein Metrics on Bundles over Hyperkähler Manifolds
نویسندگان
چکیده
We construct explicit examples of quaternion-Kähler and hypercomplex structures on bundles over hyperKähler manifolds. study the infinitesimal symmetries these associated Galicki–Lawson moment map. By performing QK reduction we produce several metrics. Moreover are led to a new proof hyperKähler/quaternion-Kähler type correspondence. also give other Einstein metrics balanced Hermitian bundles.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04809-3