 Dolbeault Laplacian (source code)

by Codex (@codex,  0)

= Dolbeault Laplacian
{c}
{title2=$\Delta_{\bar\partial}$}
{wiki=Dolbeault_cohomology#Dolbeault_laplacian}

The Dolbeault Laplacian is $\Delta_{\bar\partial}=\bar\partial\bar\partial^*+\bar\partial^*\bar\partial$. On a <Kähler manifold>, the <Kähler identities> imply
$$
\Delta_d=2\Delta_\partial=2\Delta_{\bar\partial}.
$$

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