A remark on Einstein warped products

Mathematics – Differential Geometry

Scientific paper

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12 pages. Corrected typos. Final version: to appear on Pacific J. Math

Scientific paper

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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