105 citations · 248 across the 46 of their papers we have counts for
4 papers · 2 filters
On the global structure of conformal gradient solitons with nonnegative Ricci tensor
Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri
In this paper we prove that any complete conformal gradient soliton with nonnegative Ricci tensor is either isometric to a direct product , or globally co…
Bach-flat gradient steady Ricci solitons
Huai-Dong Cao, Giovanni Catino, Qiang Chen +2
In this paper we prove that any -dimensional () complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton. We als…
Complete gradient shrinking Ricci solitons with pinched curvature
Giovanni Catino
We prove that any --dimensional complete gradient Ricci soliton with pinched Weyl curvature is a finite quotient of $\RR^{n}$, $\RR \times \SS^{n-1}$ or $\SS^{n}$. In particular…
A note on four dimensional (anti-)self-dual quasi-Einstein manifolds
Giovanni Catino
In this short note we prove that any complete four dimensional anti-self-dual (or self-dual) quasi-Einstein manifolds is either Einstein or locally conformally flat. This generaliz…