Homogeneous structures on three-dimensional Lorentzian manifolds

被引：86

作者：

Calvaruso, Giovanni ^{[1
]}

机构：

[1] Univ Lecce, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 04期

关键词：

Lorentzian manifolds; homogeneous pseudo-Riemannian structures; symmetric spaces;

D O I：

10.1016/j.geomphys.2006.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that any non-symmetric three-dimensional homogeneous Lorentzian manifold is isometric to a Lie group equipped with a left-invariant Lorentzian metric. We then classify all three-dimensional homogeneous Lorentzian manifolds. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1279 / 1291

页数：13

共 50 条

[21] Certain homogeneous paracontact three-dimensional Lorentzian metrics
Haji-Badali, Ali
Sourchi, Elham
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (01)
[22] Corrigendum to “Three-dimensional Lorentzian homogeneous Ricci solitons”
Brozos-Vázquez M.
Calvaruso G.
García-Río E.
Gavino-Fernández S.
Israel Journal of Mathematics, 2023, 255 (2) : 975 - 984
[23] Three-dimensional homogeneous Lorentzian structuresThree-dimensional homogeneous Lorentzian structuresG. Calvaruso, A. Zaeim
Giovanni Calvaruso
Amirhesam Zaeim
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2025, 119 (2):
[24] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
Vahid Pirhadi
Ghodratallah Fasihi-Ramandi
Shahroud Azami
Journal of Nonlinear Mathematical Physics, 2023, 30 : 1409 - 1423
[25] A characterization of homogeneous three-dimensional CR manifolds
Cheng, Jih-Hsin
Malchiodi, Andrea
Yang, Paul
REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (06) : 2325 - 2338
[26] Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds
Pirhadi, Vahid
Fasihi-Ramandi, Ghodratallah
Azami, Shahroud
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (04) : 1409 - 1423
[27] Four-dimensional homogeneous Lorentzian manifolds
Calvaruso, Giovanni
Zaeim, Amirhesam
MONATSHEFTE FUR MATHEMATIK, 2014, 174 (03): : 377 - 402
[28] Four-dimensional homogeneous Lorentzian manifolds
Giovanni Calvaruso
Amirhesam Zaeim
Monatshefte für Mathematik, 2014, 174 : 377 - 402
[29] Curvature homogeneous Lorentzian three-manifolds
Giovanni Calvaruso
Annals of Global Analysis and Geometry, 2009, 36 : 1 - 17
[30] Curvature homogeneous Lorentzian three-manifolds
Calvaruso, Giovanni
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2009, 36 (01) : 1 - 17

← 1 2 3 4 5 →