Published Paper
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Inserted: 7 oct 2010
Last Updated: 9 nov 2026

Journal: J. Reine Angew. Math. (Crelle's Journal)
Volume: 675 (2013)
Pages: 181-189
Year: 2013

Abstract:

In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension $n\geq 3$ is locally a warped product with $(n-1)$-dimensional fibers of constant curvature. This result includes also the case of locally conformally flat gradient Ricci solitons.

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• QuasiEinstein.pdf