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. © 2013 Springer Science+Business Media Dordrecht.
Mastrolia, P., Rimoldi, M. (2014). Some triviality results for quasi-Einstein manifolds and Einstein warped products. GEOMETRIAE DEDICATA, 169(1), 225-237 [10.1007/s10711-013-9852-3].
Some triviality results for quasi-Einstein manifolds and Einstein warped products
RIMOLDI, MICHELE
2014
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. © 2013 Springer Science+Business Media Dordrecht.
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