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

共 50 条

[1] Locally conformally flat Lorentzian quasi-Einstein manifolds
Brozos-Vazquez, M.
Garcia-Rio, E.
Gavino-Fernandez, S.
[J]. MONATSHEFTE FUR MATHEMATIK, 2014, 173 (02): : 175 - 186
[2] Locally conformally flat Lorentzian quasi-Einstein manifolds
M. Brozos-Vázquez
E. García-Río
S. Gavino-Fernández
[J]. Monatshefte für Mathematik, 2014, 173 : 175 - 186
[3] Conformally Flat Quasi-Einstein Spaces
De, Uday Chand
Sengupta, Joydeep
Saha, Diptiman
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2006, 46 (03): : 417 - 423
[4] On conformally flat special quasi Einstein manifolds
De, UC
Ghosh, GC
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 66 (1-2): : 129 - 136
[5] Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2)
Brozos-Vazquez, Miguel
Garcia-Rio, Eduardo
Gilkey, Peter
Valle-Regueiro, Xabier
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2018, 29 (01)
[6] Locally conformally flat weakly-Einstein manifolds
Eduardo García-Río
Ali Haji-Badali
Rodrigo Mariño-Villar
M. Elena Vázquez-Abal
[J]. Archiv der Mathematik, 2018, 111 : 549 - 559
[7] Locally conformally flat weakly-Einstein manifolds
Garcia-Rio, Eduardo
Haji-Badali, Ali
Marino-Villar, Rodrigo
Elena Vazquez-Abal, M.
[J]. ARCHIV DER MATHEMATIK, 2018, 111 (05) : 549 - 559
[8] Characterizations of weakly conformally flat and quasi Einstein manifolds
Sharma, Ramesh
[J]. JOURNAL OF GEOMETRY, 2023, 114 (02)
[9] Characterizations of weakly conformally flat and quasi Einstein manifolds
Ramesh Sharma
[J]. Journal of Geometry, 2023, 114
[10] A STUDY OF CONFORMALLY FLAT QUASI-EINSTEIN SPACETIMES WITH APPLICATIONS IN GENERAL RELATIVITY
Venkatesha
Kumara, Aruna H.
[J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (03): : 477 - 489

← 1 2 3 4 5 →