Invariant forms and Hamiltonian systems: A geometrical setting
type: Item
instance of: scholarly article
title: Invariant forms and Hamiltonian systems: A geometrical setting
zbMATH Open document ID: 0676.58031
DOI: 10.1007/BF00669290
author: Josep Llosa
author: N. Román-Roy
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors study the theorem on the integral forms left invariant by the dynamics of regular Hamiltonian systems, which was proved in a local- coordinate language by Lee Hwa Chung in 1947. An original invariant geometric proof of the theorem is given. An application to the theory of canonical transformations in a geometrical language is considered which reveals the relation between the dynamical properties and the geometry of the system.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 4107790
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: canonical transformations
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
cites work: Q4174811
cites work: Canonical transformations theory for presymplectic systems
cites work: Q5805482
cites work: Lee Hwa Chung theorem for presymplectic manifolds. Canonical transformations for constrained systems
cites work: Q5785904
cites work: Q5663399
cites work: Q4192639
full work available at URL: https://doi.org/10.1007/bf00669290
OpenAlex ID: W2001648019
description: scientific article; zbMATH DE number 4107790