THE ISOMETRY GROUPS OF LORENTZIAN THREE-DIMENSIONAL UNIMODULAR SIMPLY CONNECTED LIE GROUPS

被引：1

作者：

Boucetta, Mohamed ^{[1
]}

Chakkar, Abdelmounaim ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci & Tech, BP 549, Marrakech, Morocco

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2022年 / 63卷 / 02期

关键词：

Three-dimensional Lie group; Automorphism group; Isometry group; Lorentzian metric;

D O I：

10.33044/revuma.2021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the isometry groups of all three-dimensional, connected, simply connected and unimodular Lie groups endowed with a left-invariant Lorentzian metric.

引用

页码：353 / 378

页数：26

共 50 条

[41] Affine Algebraic Ricci Solitons Associated to the Yano Connections on Three-Dimensional Lorentzian Lie Groups
Azami, Shahroud
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2024, 31 (01)
[42] Control Systems on Three-Dimensional Lie Groups
Biggs, Rory
Remsing, Claudiu C.
2014 EUROPEAN CONTROL CONFERENCE (ECC), 2014, : 2442 - 2447
[43] Generalized helices in three-dimensional Lie groups
Yampolsky, Alexander
Opariy, Anastasiya
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1447 - 1455
[44] Four-dimensional Lorentzian Lie groups
Calvaruso, Giovanni
Zaeim, Amirhesam
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (04) : 496 - 509
[45] Magnetic trajectories in three-dimensional Lie groups
Turhan, Tunahan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (05) : 2747 - 2758
[46] Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups
Boubekeur, Sihem
Boucetta, Mohamed
JOURNAL OF GEOMETRY AND PHYSICS, 2021, 164
[47] Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups
A. P. Mashtakov
Yu. L. Sachkov
Differential Equations, 2015, 51 : 1476 - 1483
[48] Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
Ghorbel, Amira
Hamrouni, Hatem
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
[49] Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups
Mashtakov, A. P.
Sachkov, Yu. L.
DIFFERENTIAL EQUATIONS, 2015, 51 (11) : 1476 - 1483
[50] The Cheeger constant of simply connected, solvable Lie groups
Peyerimhoff, N
Samiou, E
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) : 1525 - 1529

← 1 2 3 4 5 →