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

页码：175 / 186

页数：12

共 18 条

[1] Two-symmetric Lorentzian manifolds
Alekseevsky, Dmitri V.
Galaev, Anton S.
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (12) : 2331 - 2340
[2] Anderson MT, 2006, CRM PROC & LECT NOTE, V40, P1
[3] [Anonymous], 1996, TRANSLATIONS MATH MO
[4] [Anonymous], 2010, RECENT ADV GEOMETRIC
[5] Structure of second-order symmetric Lorentzian manifolds
Blanco, Oihane F.
Sanchez, Miguel
Senovilla, Jose M. M.
[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2013, 15 (02) : 595 - 634
[6] Some remarks on locally conformally flat static space-times -: art. no. 022501
Brozos-Vázquez, M
García-Río, E
Vázquez-Lorenzo, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (02)
[7] Locally Conformally Flat Lorentzian Gradient Ricci Solitons
Brozos-Vazquez, M.
Garcia-Rio, E.
Gavino-Fernandez, S.
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2013, 23 (03) : 1196 - 1212
[8] Quasi-Einstein metrics and plane waves
Brozos-Vazquez, M.
Garcia-Rio, E.
Gavino-Fernandez, S.
[J]. XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS, 2012, 1460 : 174 - 179
[9] Rigidity of quasi-Einstein metrics
Case, Jeffrey
Shu, Yu-Jen
Wei, Guofang
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2011, 29 (01) : 93 - 100
[10] THE NONEXISTENCE OF QUASI-EINSTEIN METRICS
Case, Jeffrey S.
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2010, 248 (02) : 277 - 284

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