TL;DR
This paper investigates Einstein warped products with non-compact bases, extending previous results by employing maximum principles and Liouville theorems within the framework of quasi-Einstein manifolds.
Contribution
It provides new triviality results for Einstein warped products with non-compact bases, using techniques related to quasi-Einstein manifolds and maximum principles.
Findings
Extended triviality results for Einstein warped products
Applied maximum principles at infinity
Utilized Liouville-type theorems in the analysis
Abstract
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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