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

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

2010-11-03

arxiv.org/abs/1011.0903v3

Mathematics

Differential Geometry

15 pages, fixed minor mistakes in Section 3

Scientific paper

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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