Tohoku Mathematical Journal
2014

March
SECOND SERIES VOL. 66, NO. 1

Tohoku Math. J.
66 (2014), 31-54

Title CONFORMALLY FLAT HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS

Author Giovanni Calvaruso and Amirhesam Zaeim

(Received September 25, 2012, revised February 26, 2013)
Abstract. We obtain a complete classification of four-dimensional conformally flat homogeneous pseudo-Riemannian manifolds.

Mathematics Subject Classification. Primary 53C50; Secondary 53C15, 53C25.

Key words and phrases. Conformally flat manifolds, homogeneous pseudo-Riemannian manifolds, Ricci operator, Segre types.

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