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

被引：0
|
作者：
Paolo Mastrolia
Michele Rimoldi
机构：
[1] Università degli Studi di Milano,Dipartimento di Matematica
[2] Università degli Studi dell’Insubria,Dipartimento di Scienza e Alta Tecnologia
来源：
Geometriae Dedicata | 2014年 / 169卷
关键词：
Einstein warped products; Quasi-Einstein manifolds ; Triviality; Gradient estimates; 53C21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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收藏
页码：225 / 237
页数：12
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