Locally conformally flat quasi-Einstein manifolds
classification
🧮 math.DG
keywords
locallyconformallyflatquasi-einsteincasecompleteconstantcurvature
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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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