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Geometriae Dedicata

, Volume 151, Issue 1, pp 259–267 | Cite as

Riemannian 3-metrics with a generic Codazzi Ricci tensor

  • Giovanni Calvaruso
Original Paper

Abstract

We determine a large family of explicit metrics, defined on open subsets of \({\mathbb R ^3}\) , having a Codazzi Ricci tensor and three distinct Ricci eigenvalues.

Keywords

Einstein-like metrics Codazzi Ricci tensor Conformally flat metrics 

Mathematics Subject Classification (2000)

53C20 53C25 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica “E. De Giorgi”Università del SalentoLecceItaly

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