Symplectic Lie-Rinehart-Jacobi Algebras and Contact Manifolds

被引:1
|
作者
Okassa, Eugene [1 ]
机构
[1] Univ Marien NGOUABI, Fac Sci, Dept Math, BP 69 Brazzaville, Brazzaville, Rep Congo
关键词
Lie-Rinehart algebras; differential operators; Jacobi manifolds; symplectic manifolds; contact manifolds;
D O I
10.4153/CMB-2011-033-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a characterization of contact manifolds in terms of symplectic Lie-Rinehart-Jacobi algebras. We also give a sufficient condition for a Jacobi manifold to be a contact manifold.
引用
收藏
页码:716 / 725
页数:10
相关论文
共 50 条
  • [11] Crossed modules for Lie-Rinehart algebras
    Casas, JM
    Ladra, M
    Pirashvili, T
    JOURNAL OF ALGEBRA, 2004, 274 (01) : 192 - 201
  • [12] SHIFTED DOUBLE LIE-RINEHART ALGEBRAS
    Leray, Johan
    THEORY AND APPLICATIONS OF CATEGORIES, 2020, 35 : 594 - 621
  • [14] The Chern character for Lie-Rinehart algebras
    Maakestad, H
    ANNALES DE L INSTITUT FOURIER, 2005, 55 (07) : 2551 - +
  • [15] On 3-Hom-Lie-Rinehart algebras
    Guo, Shuangjian
    Zhang, Xiaohui
    Wang, Shengxiang
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (04) : 1407 - 1425
  • [16] Deformation of hom-Lie-Rinehart algebras
    Mandal, Ashis
    Mishra, Satyendra Kumar
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (04) : 1653 - 1670
  • [17] Equivariant Cohomology over Lie Groupoids and Lie–Rinehart Algebras
    Johannes Huebschmann
    Letters in Mathematical Physics, 2009, 90 : 201 - 251
  • [18] Generalized Hom-Lie-Rinehart algebras
    Moukala, Norbert Mahoungou
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [19] Chern classes and Lie-Rinehart algebras
    Maakestad, Helge
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2007, 18 (04): : 589 - 599
  • [20] ON THE HISTORY OF LIE BRACKETS, CROSSED MODULES, AND LIE-RINEHART ALGEBRAS
    Huebschmann, Johannes
    arXiv, 2022,