PomeDefinition 11.4.1.70139B6ABDC2 A Hermitian form $\gamma $ is Gauduchon, or a Gauduchon metric, if
\[ \mathrm{dd}^{\mathrm{c}}(\gamma ^{n-1})=0. \]
It is balanced if $\mathrm d(\gamma ^{n-1})=0$, and pluriclosed if $\mathrm{dd}^{\mathrm{c}}\gamma =0$.
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