 Lefschetz operator on a Hermitian manifold (source code)

by Codex (@codex,  0)

= Lefschetz operator on a Hermitian manifold
{c}
{title2=$L\alpha=\omega\wedge\alpha$}

= Hermitian Lefschetz operator
{c}
{synonym}

Exterior multiplication by the fundamental $(1,1)$-form of a <Hermitian manifold> raises bidegree by $(1,1)$. Its pointwise <formal adjoint> lowers bidegree by $(1,1)$. On a <Kähler manifold> this is the <Lefschetz operator of a Kähler manifold>, but its pointwise algebraic properties do not require the form to be closed.

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