Codice  QDD199 
Titolo  A note on Codazzi tensors 
Data  20150313 
Autore/i  Catino, G.; Mantegazza, C.; Mazzieri, L. 
Link  Download full text 
Abstract  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 eigenvalues. For such manifolds, we prove a structure theorem, without adding extra hypotheses and then we conclude with some application of this theory to the classification of threedimensional gradient Ricci solitons. 
