On Bach flat warped product Einstein manifolds

Details On Bach flat warped product Einstein manifolds On Bach flat warped product Einstein manifolds

2011-05-19

arxiv.org/abs/1105.3957v2

Mathematics

Differential Geometry

12 pages. Minor changes and references updated. Submitted version

Scientific paper

In this paper we show that a compact warped product Einstein manifold with
vanishing Bach tensor of dimension $n \geq 4$ is a finite quotient of a warped
product with $(n-1)$-dimensional Einstein fiber. The fiber has constant
curvature if $n=4$.

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