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math.DG2013★ 2 cited
Rigidity of gradient Einstein shrinkers
Giovanni Catino, Lorenzo Mazzieri, Samuele Mongodi
In this paper we consider a perturbation of the Ricci solitons equation proposed in \cite{jpb1} and studied in \cite{CaMa} and we classify noncompact gradient shrinkers with bounde…
math.DG2012
The Cotton tensor and the Ricci flow
Carlo Mantegazza, Samuele Mongodi, Michele Rimoldi
We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we d…