Symmetries and reductions of Dirac-Jacobi structures
In this manuscript we study reductions of Dirac-Jacobi structures on a smooth manifold under the presence of symmetries given by the action of a connected Lie group. The main tools we used are the called "homogenization trick" and the well known reduction of Dirac structures. We show two p...
- Autores:
-
Yela Rosero, Darlyn Yamid
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/80403
- Palabra clave:
- 510 - Matemáticas::516 - Geometría
Physics
Quantum theory
Física
Teoría cuántica
Dirac-Jacobi structures
Dirac structures
Dirac-ization trick
Homogenization trick
Reduction
Estructuras Dirac-Jacobi
Estructuras Dirac
Truco de homogenización
Truco de Dirac-ización
Reducción
Geometría
Geometry
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional
| Summary: | In this manuscript we study reductions of Dirac-Jacobi structures on a smooth manifold under the presence of symmetries given by the action of a connected Lie group. The main tools we used are the called "homogenization trick" and the well known reduction of Dirac structures. We show two particular cases, namely, reduction by moment map and the case when the base manifold is endowed with a contact 1-form. |
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