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.
Some triviality results for quasi-Einstein manifolds and Einstein warped products / P. Mastrolia, M. Rimoldi. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 169:1(2014), pp. 225-237. [10.1007/s10711-013-9852-3]
Some triviality results for quasi-Einstein manifolds and Einstein warped products
P. MastroliaPrimo
;M. RimoldiUltimo
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.
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