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Locally conformally flat quasi-Einstein manifolds

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.

preprint2011arXivOpen access
Giovanni CatinoCarlo MantegazzaLorenzo MazzieriMichele Rimoldi
math.DG
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Open access4 authors1 topic
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Giovanni CatinoCarlo MantegazzaLorenzo MazzieriMichele Rimoldi

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