Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A characterization of compact locally conformally hyperKähler manifolds

Alexandra Otiman (University of Bucharest)

created by daniele on 27 Feb 2019
modified on 25 Mar 2019

28 mar 2019 -- 14:30

Aula Tricerri, DiMaI, Firenze

Abstract.

After giving some preliminaries on locally conformally hyperkaehler (lchK) geometry, we present a characterisation of compact lchK manifolds in terms of the existence of a non-degenerate complex two-form with natural properties. This is a conformal analogue of Beauville's theorem stating that a compact Kaehler manifolds admitting a holomorphic symplectic form is hyperkaehler. This is joint work with Liviu Ornea.

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