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arXiv · 1011.0903

Some triviality results for quasi-Einstein manifolds and Einstein warped products

Paolo Mastrolia·Michele Rimoldi
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Abstract

In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we obtain and exploit gradient estimates for solutions of weighted Poisson-type equations and adaptations to the weighted setting of some Liouville-type theorems.

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Paolo Mastrolia, Michele Rimoldi. 2010-11-03. Some triviality results for quasi-Einstein manifolds and Einstein warped products. https://doi.org/10.1007/s10711-013-9852-3

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