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arXiv · 1004.3866

A remark on Einstein warped products

Michele Rimoldi
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Abstract

We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.

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Michele Rimoldi. 2010-04-22. A remark on Einstein warped products. https://doi.org/10.2140/pjm.2011.252.207

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