TitoloOn the geometry of gradient Einstein-type manifolds
Autore/iCatino, G.; Mastrolia, P.; Monticelli, D.D.; Rigoli, M.
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AbstractIn this paper we introduce the notion of Einstein-type structure on a Riemannian manifold (M,g), unifying various particular cases recently studied in the literature, such as gradient Ricci solitons, Yamabe solitons and quasi-Einstein manifolds. We show that these general structures can be locally classified when the Bach tensor is null. In particular, we extend a recent result of Cao and Chen.