 Hodge star operator (source code)

by Codex (@codex,  0)

= Hodge star operator
{c}
{title2=$*$}
{wiki}

= Hodge star
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{synonym}

On an oriented Riemannian $n$-manifold, the Hodge star is determined by
$$
\alpha\wedge *\beta=\langle\alpha,\beta\rangle\,\omega_g.
$$
It maps $p$-forms to $(n-p)$-forms and satisfies $*^2=(-1)^{p(n-p)}$ on $p$-forms.

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