Ricci Bi-Conformal Vector Fields on Lorentzian Walker Manifolds of Low Dimension

被引：0

作者：

Sohrabpour, Mahin ^{[1
]}

Azami, Shahroud ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 12期

关键词：

Ricci bi-conformal vector fields; conformally flat metric; Walker manifolds;

D O I：

10.1134/S1995080223120338

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we classify the Ricci bi-conformal vector fields on four-dimensional LorentzianWalker manifolds. Also, we show that which of them are gradient vector fields and Killing vector fields.

引用

页码：5437 / 5443

页数：7

共 50 条

[21] Projective vector fields on Lorentzian manifolds
Romero, A
Sánchez, M
[J]. GEOMETRIAE DEDICATA, 2002, 93 (01) : 95 - 105
[22] Projective Vector Fields on Lorentzian Manifolds
Alfonso Romero
Miguel Sánchez
[J]. Geometriae Dedicata, 2002, 93 : 95 - 105
[23] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
Vahid Pirhadi
Ghodratallah Fasihi-Ramandi
Shahroud Azami
[J]. Journal of Nonlinear Mathematical Physics, 2023, 30 : 1409 - 1423
[24] Almost Kenmotsu (k, μ)′-manifolds of dimension three and conformal vector fields
Wang, Yaning
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2022, 19 (04)
[25] Gradient Ricci Solitons on Spacelike Hypersurfaces of Lorentzian Manifolds Admitting a Closed Conformal Timelike Vector Field
Alshehri, Norah
Guediri, Mohammed
[J]. MATHEMATICS, 2024, 12 (06)
[26] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
Pirhadi, Vahid
Fasihi-Ramandi, Ghodratallah
Azami, Shahroud
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (04) : 1409 - 1423
[27] CONFORMAL VECTOR FIELDS AND CONFORMAL TRANSFORMATIONS OF SYMMETRIC LORENTZIAN SPACES
CAHEN, M
KERBRAT, Y
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1978, 57 (02): : 99 - 132
[28] Conformal vector fields on lcK manifolds
Moroianu, Andrei
Pilca, Mihaela
[J]. MATHEMATICAL RESEARCH LETTERS, 2023, 30 (05) : 1591 - 1608
[29] The conformal vector fields on Kropina manifolds
Cheng, Xinyue
Yin, Li
Li, Tingting
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2018, 56 : 344 - 354
[30] On conformal vector fields on Randers manifolds
Shen ZhongMin
Xia QiaoLing
[J]. SCIENCE CHINA-MATHEMATICS, 2012, 55 (09) : 1869 - 1882

← 1 2 3 4 5 →