= Conformal Killing factor
{title2=$\lambda=\nabla_\mu X^\mu/n$}
For a <Conformal Killing vector field> $X$ on an $n$-dimensional <pseudo-Riemannian manifold>, the <conformal Killing factor> is the <scalar field> $\lambda$ in $\mathcal L_Xg=2\lambda g$. For the <Levi-Civita connection>, taking the <tensor contraction> of the <Conformal Killing equation> gives $\lambda=\nabla_\mu X^\mu/n$. A <Killing vector field> has $\lambda=0$, while the <dilation> generator $x^\mu\partial_\mu$ on <Minkowski spacetime> has $\lambda=1$.
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