Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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G. Catino - C. Mantegazza - L. Mazzieri

A note on Codazzi tensors

created by stoppato on 08 Nov 2016
modified by catino on 17 Oct 2023


Published Paper

Inserted: 8 nov 2016
Last Updated: 17 oct 2023

Journal: Math. Ann.
Volume: 362
Number: 1-2
Pages: 629-638
Year: 2015
Doi: 10.1007/s00208-014-1135-2

ArXiv: 1205.3460 PDF


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.

Tags: FIRB2012-DGGFT

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