Codice  QDD192 
Titolo  Generalized quasiEinstein manifolds with harmonic Weyl tensor 
Data  20150215 
Autore/i  Catino, G. 
Link  Download full text  Pubblicato  Math. Z., 271 (2012), no. 34, 751756 
Abstract  In this paper we introduce the notion of generalized quasiEinstein manifold, which generalizes the concepts of Ricci soliton, Ricci almost soliton and quasiEinstein manifolds. We prove that a complete generalized quasiEinstein manifold with harmonic Weyl tensor and with zero radial Weyl curvature, is locally a warped product with (n?1)dimensional Einstein fibers. In particular, this implies a local characterization for locally conformally flat gradient Ricci almost solitons, similar to the one proved for gradient Ricci solitons. 
