A review on coisotropic reduction in symplectic, cosymplectic, contact and co-contact Hamiltonian systems

Abstract In this paper we study coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of coisotropic reduction is motivated by the fact that these dynamics can always be interpreted as Lagrangian or Legendrian submanifolds. Fur...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 57; no. 16; pp. 163001 - 163051
Main Authors de León, Manuel, Izquierdo-López, Rubén
Format Journal Article
LanguageEnglish
Published IOP Publishing 19.04.2024
Subjects
cocontact manifolds
coisotropic reduction
contact manifolds
cosymplectic manifolds
Hamiltonian dynamics
symplectic manifolds
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Summary:Abstract In this paper we study coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of 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.
Bibliography:JPhysA-119683.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad37b2