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EnglishWe discuss a gap in Besse’s book (Einstein manifolds, 2008), recently pointed out by Merton in (Proc Am Math Soc 141:3265–3273, 2013), 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 three-dimensional gradient Ricci solitons.
http://hdl.handle.net/11384/57219| Titolo: | Locally conformally flat ancient Ricci flows |
| Autori interni: | CATINO, GIOVANNI MANTEGAZZA, Carlo Maria MAZZIERI, LORENZO |
| Data di pubblicazione: | Being printed |
| Rivista: | ANALYSIS & PDE |
| Abstract: | We discuss a gap in Besse’s book (Einstein manifolds, 2008), recently pointed out by Merton in (Proc Am Math Soc 141:3265–3273, 2013), 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 three-dimensional gradient Ricci solitons. |
| Handle: | http://hdl.handle.net/11384/57219 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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