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...

Full description

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
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/79669
https://repositorio.unal.edu.co/
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
Description
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.