CENTRALIZER OF REEB VECTOR FIELD IN CONTACT LIE GROUPS

被引：0

作者：

Hassanzadeh, Babak ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2018年 / 48卷

关键词：

Centralizer; left invariant contact structure;

D O I：

10.7546/jgsp-48-2018-23-31

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the centralizer of Reeb vector field of a contact Lie group with a left invariant Riemannian metric while contact structure is left invariant. Then we decompose the Lie algebra of this Lie groups to centralizer of Reeb vector field and its orthogonal complement and using this decomposition the contact Lie group is investigated. Furthermore, in last section a special automorphism is defined and studied which it keeps the contact form.

引用

页码：23 / 31

页数：9

共 50 条

[41] The centralizer of an element in a Lie algebra of type L
Lu, CH
Shao, WW
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (06): : 854 - 861
[42] Invariant minimal unit vector fields on Lie groups
Tsukada K.
Vanhecke L.
Periodica Mathematica Hungarica, 2000, 40 (2) : 123 - 133
[43] On Lie Groups with Conformal Vector Fields Induced by Derivations
Zhang, Hui
Chen, Zhiqi
TRANSFORMATION GROUPS, 2024,
[44] Prolongations of vector fields on lie groups and homogeneous spaces
Baranovskii, SP
Shirokov, IV
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 135 (01) : 510 - 519
[45] ADJOINT VECTOR FIELDS ON SEMISIMPLE LIE GROUPS AND ALGEBRAS
DIXMIER, J
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1979, 309 : 183 - 190
[46] Lie groups with conformal vector fields induced by derivations
Zhang, Hui
Chen, Zhiqi
JOURNAL OF ALGEBRA, 2021, 584 : 304 - 316
[47] Prolongations of Vector Fields on Lie Groups and Homogeneous Spaces
S. P. Baranovskii
I. V. Shirokov
Theoretical and Mathematical Physics, 2003, 135 (1) : 510 - 519
[48] Vector fields dynamics as geodesic motion on Lie groups
Pripoae, GT
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (11) : 865 - 868
[49] Invariant harmonic unit vector fields on Lie groups
González-Dávila, JC
Vanhecke, L
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2002, 5B (02): : 377 - 403
[50] The centralizer of an element in a Lie algebra of type L
Caihui Lu
Wenwu Shao
Science in China Series A: Mathematics, 2004, 47 (6): : 854 - 861

← 1 2 3 4 5 →