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arXiv · 1010.1418

Locally conformally flat quasi-Einstein manifolds

Giovanni Catino·Carlo Mantegazza·Lorenzo Mazzieri·Michele Rimoldi
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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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Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri, Michele Rimoldi. 2010-10-07. Locally conformally flat quasi-Einstein manifolds. https://arxiv.org/abs/1010.1418

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