Locally conformally flat quasi-Einstein manifolds

Details Locally conformally flat quasi-Einstein manifolds Locally conformally flat quasi-Einstein manifolds

2010-10-07

arxiv.org/abs/1010.1418v3

Mathematics

Differential Geometry

Minor corrections

Scientific paper

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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