Locally conformally flat Lorentzian quasi-Einstein manifolds

被引:7
|
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
收藏
页码:175 / 186
页数:12
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