Harmonic differential form (source code)

= Harmonic differential form
{title2=$\Delta\alpha=0$}
{wiki=Harmonic_form}

A differential form is harmonic when it lies in the kernel of the Hodge Laplacian $\Delta=d\delta+\delta d$. On a compact manifold, this is equivalent to $d\alpha=0$ and $\delta\alpha=0$.