Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Author: Román-Roy, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149096
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories / N. Román-Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 98 назв. — англ.

This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, second, the Hamiltonian formalism is constructed usi...