On moment maps and Jacobi manifolds
The main goal of this work is to introduce the idea of a Hamiltonian action in the context of Jacobi structures on line bundles. This work aims to make these construction without relying on the "Poissonization trick". Our definition allows us to recover the notion of (weakly)Hamiltonian ac...
- Autores:
-
Leguizamón Robayo, Alexander
- 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/79669
- Palabra clave:
- 510 - Matemáticas
Sistemas Hamiltonianos
Hamilton-Jacobi equation
Jacobi structures
Contact Manifolds
Locally conformally symplectic structures
Hamiltonian actions
Moment Maps
Estructuras de Jacobi
Variedades de contact
Estructuras localmente conformemente simplécticas
Acción Hamiltoniana
Aplicación momento
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
Summary: | The main goal of this work is to introduce the idea of a Hamiltonian action in the context of Jacobi structures on line bundles. This work aims to make these construction without relying on the "Poissonization trick". Our definition allows us to recover the notion of (weakly)Hamiltonian action in the context of Poisson, contact, and locally conformally symplectic geometry. |
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