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

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页码：225 / 237

页数：13

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