We prove triviality results for Einstein warped products with noncompact bases. These extend previous work by Kim and Kim. The proofs, from the viewpoint of quasi-Einstein manifolds introduced by Case, Shu and Wei, rely on maximum principles at infinity and Liouville-type theorems.
Rimoldi, M. (2011). A remark on einstein warped products. PACIFIC JOURNAL OF MATHEMATICS, 252(1), 207-218 [10.2140/pjm.2011.252.207].
A remark on einstein warped products
RIMOLDI, MICHELE
2011
Abstract
We prove triviality results for Einstein warped products with noncompact bases. These extend previous work by Kim and Kim. The proofs, from the viewpoint of quasi-Einstein manifolds introduced by Case, Shu and Wei, rely on maximum principles at infinity and Liouville-type theorems.
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