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math.DG2012
A note on Codazzi tensors
Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri
We discuss a gap in Besse's book, recently pointed out by Merton, which concerns the classification of Riemannian manifolds admitting a Codazzi tensors with exactly two distinct ei…
math.DG2012
Critical metrics of the -norm of the scalar curvature
Giovanni Catino
In this paper we investigate complete critical metrics of the -norm of the scalar curvature. We prove that any complete critical metric with positive scalar curvature has co…
math.DG2012
Gradient Einstein solitons
Giovanni Catino, Lorenzo Mazzieri
In this paper we consider a perturbation of the Ricci solitons equation proposed by J. P. Bourguignon in \cite{jpb1}. We show that these structures are more rigid then standard Ric…