preprint
Inserted: 17 oct 2023
Last Updated: 17 oct 2023
Year: 2010
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.