Locally conformally flat quasi-Einstein manifolds

被引：32

作者：

Catino, Giovanni ^{[1
]}

Mantegazza, Carlo ^{[2
]}

Mazzieri, Lorenzo ^{[2
]}

Rimoldi, Michele ^{[3
]}

机构：

[1] Scuola Int Super Studi Avanzati, SISSA, I-34136 Trieste, Italy

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 675卷

关键词：

WEYL TENSOR; SOLITONS; METRICS; SPACES;

D O I：

10.1515/CRELLE.2011.183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension n >= 3 is locally a warped product with (n-1)-dimensional fibers of constant curvature. This result includes also the case of locally conformally flat gradient Ricci solitons.

引用

页码：181 / 189

页数：9

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