Ricci solitons - The equation point of view
  We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow. 
Manolo Eminenti, Gabriele La Nave, Carlo Mantegazza