A remark on Einstein warped products

By Michele Rimoldi. 2010

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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 proofs, from the viewpoint of "quasi-Einstein man- ifolds" introduced by J. Case, Y.-S. Shu and G. Wei, relies on maximum principles at infinity and Liouville-type theorems.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5452d0e266334db2937a4fc79fa07ca7ff996a24