105 citations · 248 across the 46 of their papers we have counts for
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math.DG2013★ 1 cited
Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons
Giovanni Catino, Alix Deruelle, Lorenzo Mazzieri
In this paper we prove that any asymptotically cylindrical gradient shrinking Ricci soliton is isometric to a cylinder.
math.DG2013★ 7 cited
Locally conformally flat ancient Ricci flows
Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri
We show that any locally conformally flat ancient solution to the Ricci flow must be rotationally symmetric. As a by-product, we prove that any locally conformally flat Ricci solit…
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…