Mathematics – Differential Geometry
Scientific paper
2010-04-22
Mathematics
Differential Geometry
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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