  English translation of "Solitony Ricciego" (Wiadomo\'sci Matematyczne 48,
2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers
just a few narrow topics: Perelman's proof of the fact that compact Ricci
solitons are of the gradient type, and a detailed unified description of Page's
and Berard Bergery's Einstein manifolds on the one hand, and Koiso's and Cao's
K\"ahler-Ricci solitons on the other, as the Ricci solitons arising via
conformal changes from certain special K\"ahler manifolds.
