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gauduchon metric

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

On generalized Gauduchon metrics
Part of
- Compact analytic spaces
- Global differential geometry
Anna Fino, Luis Ugarte
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 3 / October 2013

Published online by Cambridge University Press:

21 March 2013, pp. 733-753
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We study a class of Hermitian metrics on complex manifolds, recently introduced by Fu, Wang and Wu, which are a generalization of Gauduchon metrics. This class includes the class of Hermitian metrics for which the associated fundamental 2-form is ∂∂-closed. Examples are given on nilmanifolds, on products of Sasakian manifolds, on S1-bundles and via the twist construction introduced by Swann.