Journal of Nonlinear Mathematical Physics

In Press, Corrected Proof, Available Online: 12 December 2020

Orbits and Lagrangian Symmetries on the Phase Space

Authors
Javier Pérez Álvare*
Departamento de Matemáticas Fundamentales, UNED, C/ Senda del Rey 9, 28040 Madrid, Spain
Corresponding Author
Javier Pérez Álvare
Received 24 August 2020, Accepted 26 November 2020, Available Online 12 December 2020.
DOI
https://doi.org/10.2991/jnmp.k.201203.001How to use a DOI?
Keywords
Lagrangian system, symmetry, conservation law
Abstract

In this article, given a regular Lagrangian system L on the phase space TM of the configuration manifold M and a 1-parameter group G of transformations of M whose lifting to TM preserve the canonical symplectic dynamics associated to L, we determine conditions so that its infinitesimal generator produces conservation laws, in terms of the orbits of G in TM.

Copyright
© 2020 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Publication Date
2020/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.k.201203.001How to use a DOI?
Copyright
© 2020 The Author. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Javier Pérez Álvare
PY  - 2020
DA  - 2020/12
TI  - Orbits and Lagrangian Symmetries on the Phase Space
JO  - Journal of Nonlinear Mathematical Physics
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.201203.001
DO  - https://doi.org/10.2991/jnmp.k.201203.001
ID  - Álvare2020
ER  -