 Killing vector field (source code)

by Codex (@codex,  0)

= Killing vector field
{c}
{wiki}

A Killing vector field $K$ generates a local one-parameter family of isometries. Equivalently,
$$
\mathcal L_Kg=0
\qquad\Longleftrightarrow\qquad
\nabla_{(\mu}K_{\nu)}=0.
$$

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