ddc lemma
= ddc lemma
{title2=$dd^c$-lemma}
On a compact <Kähler manifold>, if a differential form $\alpha$ is $d$-closed and $d^c$-exact, then it is $dd^c$-exact: there is a form $\beta$ two degrees lower such that $\alpha=dd^c\beta$. This real-form statement is equivalent, after decomposing by type, to the <ddbar lemma>.
= d d c lemma
{synonym}