Explicit formulas for Killing magnetic curves in three-dimensional Heisenberg group

被引：4

作者：

Derkaoui, Khadidja ^{[1
]}

Hathout, Fouzi ^{[2
]}

机构：

[1] Univ Chlef, Dept Math, Ouled Fares, Algeria

[2] Univ Saida, Dept Math, Saida, Algeria

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2021年 / 18卷 / 09期

关键词：

Heisenberg group; geodesic Killing magnetic curves; Killing vector fields; Killing magnetic curves;

D O I：

10.1142/S0219887821501358

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we present the geometry of three-dimensional Heisenberg group (H-3, g) and its geodesics curves. After studying the Killing magnetic curves and some geodesic Killing magnetic curves, we give the explicit formulas for such curves.

引用

页数：16

共 50 条

[21] DYNAMICS OF THREE-DIMENSIONAL MAGNETIC STRUCTURES IN THE HEISENBERG MODEL
Borisov, A. B.
THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 210 (01) : 99 - 110
[22] Dynamics of three-dimensional magnetic structures in the Heisenberg model
A. B. Borisov
Theoretical and Mathematical Physics, 2022, 210 : 99 - 110
[23] Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings
Zeraoulia Elhadj
J. C. Sprott
Frontiers of Physics in China, 2009, 4 : 549 - 555
[24] Some explicit formulas of Lyapunov exponents for three-dimensional quadratic mappings
Elhadj, Zeraoulia
Sprott, J. C.
FRONTIERS OF PHYSICS IN CHINA, 2009, 4 (04): : 549 - 555
[25] A LOOP GROUP METHOD FOR MINIMAL SURFACES IN THE THREE-DIMENSIONAL HEISENBERG GROUP
Dorfmeister, Josef F.
Inoguchi, Jun-Ichi
Kobayashi, Shimpei
ASIAN JOURNAL OF MATHEMATICS, 2016, 20 (03) : 409 - 448
[26] Magnetic curves in the generalized Heisenberg group
Munteanu, Marian Ioan
Nistor, Ana Irina
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214
[27] Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone
Liu, Huili
Meng, Qingxian
RESULTS IN MATHEMATICS, 2011, 59 (3-4) : 437 - 451
[28] Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone
Huili Liu
Qingxian Meng
Results in Mathematics, 2011, 59 : 437 - 451
[29] THE CHABAUTY SPACE OF CLOSED SUBGROUPS OF THE THREE-DIMENSIONAL HEISENBERG GROUP
Bridson, Martin R.
De La Harpe, Pierre
Kleptsyn, Victor
PACIFIC JOURNAL OF MATHEMATICS, 2009, 240 (01) : 1 - 48
[30] Explicit formulas for the geodesics of homogeneous SO(2)-isotropic three-dimensional manifolds
Loi, A
Sitzia, P
ADVANCES IN MATHEMATICS, 2000, 156 (01) : 1 - 22

← 1 2 3 4 5 →