Contact structures as Dirac structures and their associated Poisson algebras
- Авторлар: Cardona A.1
-
Мекемелер:
- Mathematics Department
- Шығарылым: Том 37, № 1 (2016)
- Беттер: 50-59
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197302
- DOI: https://doi.org/10.1134/S1995080216010042
- ID: 197302
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Cardona
Mathematics Department
Хат алмасуға жауапты Автор.
Email: acardona@uniandes.edu.co
Колумбия, Cra 1 no. 18-A, Bogotá