A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems

Fuente: arXiv
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Autori principali: de León, Manuel, Izquierdo-López, Rubén
Natura: Preprint
Pubblicazione: 2023
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author de León, Manuel
Izquierdo-López, Rubén
author_facet de León, Manuel
Izquierdo-López, Rubén
contents In this paper we study the coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of the coisotropic reduction is motivated by the fact that these dynamics can always be interpreted as Lagrangian or Legendrian submanifolds. Furthermore, Lagrangian or Legendrian submanifolds can be reduced by a coisotropic one.
format Preprint
id arxiv_https___arxiv_org_abs_2308_07637
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems
de León, Manuel
Izquierdo-López, Rubén
Symplectic Geometry
37J39, 37J55, 70H05, 70H33
In this paper we study the coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of the coisotropic reduction is motivated by the fact that these dynamics can always be interpreted as Lagrangian or Legendrian submanifolds. Furthermore, Lagrangian or Legendrian submanifolds can be reduced by a coisotropic one.
title A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems
topic Symplectic Geometry
37J39, 37J55, 70H05, 70H33
url https://arxiv.org/abs/2308.07637