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Seminários do IMPA

Geometria Diferencial

Título
Locally conformally Kaehler manifolds, old and new
Expositor
Liviu Ornea

Bucharest
Data
Terça-feira, 12 de junho de 2018, 15:30
Local
Sala 236.
Resumo

Locally conformally hyperkaehler manifolds are discriete quotients of hyperkaehler manifolds through a group of homotheties. They have a rich geometry, related with 3-Sasakian and  Kaehler geometries. After reviewing their basic properties, I shall discuss a characterization in terms of a non-degenerate (2,0) form with certain properties. The result can be viewed as an analogue of Beauville's characterization of hyperkaehler manifolds in terms of symplectic holomorphic forms. This is a joint work with A. Otiman.