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arxiv: 1004.3866 · v4 · pith:VY6HVLR7new · submitted 2010-04-22 · 🧮 math.DG

A remark on Einstein warped products

classification 🧮 math.DG
keywords einsteinproductswarpedbasescaseextendinfinityintroduced
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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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