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

被引：6
|
作者：
Mastrolia, Paolo [1 ]
Rimoldi, Michele [2 ]
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Insubria, Dipartimento Sci & Alta Tecnol, I-22100 Como, Italy
来源：
GEOMETRIAE DEDICATA | 2014年 / 169卷 / 01期
关键词：
Einstein warped products; Quasi-Einstein manifolds; Triviality; Gradient estimates; LIOUVILLE THEOREMS; SCALAR CURVATURE; RICCI SOLITONS; CLASSIFICATION; EQUATIONS; OPERATORS;
D O I：
10.1007/s10711-013-9852-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：225 / 237
页数：13
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