Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Special Hermitian metrics on non-Kähler manifolds

Special hermitian metrics in symplectic geometry

Anna Fino (Dipartimento di Matematica, Università di Torino)

created by daniele on 28 Dec 2015
modified on 31 Mar 2016

21 apr 2016 -- 16:00

Aula Tricerri, DiMaI, Firenze


Symplectic forms taming complex structures on compact manifolds are strictly related to a special type of Hermitian metrics, known in the literature also as "pluriclosed" metrics. I will present some general results on "pluriclosed" metrics and their link with symplectic geometry on compact solvmanifolds. Moreover, I will show for certain 4-dimensional non-Kaehler 4-manifolds some recent results about the Calabi-Yau problem in the context of symplectic geometry.

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