Locally conformally flat Lorentzian quasi-Einstein manifolds

被引：8

作者：

Brozos-Vazquez, M. ^{[1
]}

Garcia-Rio, E. ^{[2
]}

Gavino-Fernandez, S. ^{[2
]}

机构：

[1] Univ A Coruna, Dept Math, La Coruna, Spain

[2] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 173卷 / 02期

关键词：

Quasi-Einstein; Lorentzian metrics; Locally conformally flat manifolds; PRODUCT; SPACES;

D O I：

10.1007/s00605-013-0548-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that locally conformally flat quasi-Einstein manifolds are globally conformally equivalent to a space form or locally isometric to a Robertson-Walker spacetime or a -wave.

引用

页码：175 / 186

页数：12

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