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Abstract A Hermitian metric on a complex manifold is said to be pluriclosed or SKT if the torsion of the associated Bismut connection is closed, and it is called balanced if its fundamental form is co-closed. In the paper we give an overview of recent results on pluriclosed and balanced metrics, provide new constructions of compact non-Kähler manifolds and also present a few open problems.
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Anna Fino (Sat,) studied this question.
www.synapsesocial.com/papers/68e5fa5cb6db64358758e5ba — DOI: https://doi.org/10.1007/s40574-024-00421-y
Anna Fino
Bollettino dell Unione Matematica Italiana
Collegio Carlo Alberto
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