Ricci soliton
= Ricci soliton
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{title2=$\operatorname{Ric}+\tfrac12\mathcal L_Xg=\lambda g$}
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A <Riemannian metric> satisfying the displayed equation for a <vector field> $X$ and constant $\lambda$. A gradient Ricci soliton has $X=\nabla f$; it is steady when $\lambda=0$.