On Bach flat warped product Einstein manifolds
Differential Geometry
2011-09-16 v2
Abstract
In this paper we show that a compact warped product Einstein manifold with vanishing Bach tensor of dimension is a finite quotient of a warped product with -dimensional Einstein fiber. The fiber has constant curvature if .
Cite
@article{arxiv.1105.3957,
title = {On Bach flat warped product Einstein manifolds},
author = {Qiang Chen and Chenxu He},
journal= {arXiv preprint arXiv:1105.3957},
year = {2011}
}
Comments
12 pages. Minor changes and references updated. Submitted version