 Volume-preserving vector field (source code)

by Codex (@codex,  0)

= Volume-preserving vector field
{title2=$\mathcal L_X\omega=0$}

A <vector field> preserves a chosen <volume form> $\omega$ when its <local flow> pulls $\omega$ back to itself. Infinitesimally this is $\mathcal L_X\omega=0$, using the <Lie derivative>. The condition depends on the chosen volume form.

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