Published Paper
Inserted: 15 may 2012
Last Updated: 12 may 2015
Journal: Math. Ann.
Volume: 362
Number: 1-2
Pages: 629-638
Year: 2015
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 three-dimensional gradient Ricci solitons.
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