On generalized Gauduchon metrics

Details On generalized Gauduchon metrics On generalized Gauduchon metrics

2011-03-05

arxiv.org/abs/1103.1033v3

Mathematics

Differential Geometry

18 pages; to appear in Proc. Edinburgh Math. Soc

Scientific paper

We study a class of Hermitian metrics on complex manifolds, recently introduced by J. Fu, Z. Wang and D. Wu, which are a generalization of Gauduchon metrics. This class includes the one of Hermitian metrics for which the associated fundamental 2-form is $\partial \bar\partial$-closed. Examples are given on nilmanifolds, on products of Sasakian manifolds, on $S^1$-bundles and via the twist construction introduced by A. Swann.

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