Busca avançada
Ano de início
Entree


Einstein Metrics on Bundles over Hyperkahler Manifolds

Texto completo
Autor(es):
Fowdar, Udhav
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Communications in Mathematical Physics; v. 403, n. 1, p. 35-pg., 2023-08-09.
Resumo

We construct explicit examples of quaternion-Kahler and hypercomplex structures on bundles over hyperKahler manifolds. We study the infinitesimal symmetries of these examples and the associated Galicki-Lawson quaternion-Kahler moment map. By performing the QK reduction we produce several explicit QK metrics. Moreover we are led to a new proof of a hyperKahler/quaternion-Kahler type correspondence. We also give examples of other Einstein metrics and balanced Hermitian structures on these bundles. (AU)

Processo FAPESP: 21/07249-0 - Simetrias em problemas de holonomia excepcionais
Beneficiário:Udhav Fowdar
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado