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arXiv · 1205.3460

A note on Codazzi tensors

Giovanni Catino·Carlo Mantegazza·Lorenzo Mazzieri
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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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Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri. 2012-05-15. A note on Codazzi tensors. https://arxiv.org/abs/1205.3460

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