Contact structures as Dirac structures and their associated Poisson algebras
- 作者: Cardona A.1
-
隶属关系:
- Mathematics Department
- 期: 卷 37, 编号 1 (2016)
- 页面: 50-59
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197302
- DOI: https://doi.org/10.1134/S1995080216010042
- ID: 197302
如何引用文章
详细
We give a description of contact structures on smoothmanifolds as Dirac structures, and we compute their associated Poisson algebras of admissible functions. We also revisit the notion of moment map associated to smooth actions on Lie groups on contact manifolds, we show that a contact moment map induces a moment map in the Dirac sense as defined in [3], and this map induces a natural morphism of Lie algebras of vector fields, admissible functions and infinitesimal symmetries.
作者简介
A. Cardona
Mathematics Department
编辑信件的主要联系方式.
Email: acardona@uniandes.edu.co
哥伦比亚, Cra 1 no. 18-A, Bogotá