MULTISYMPLECTIC GEOMETRY AND k-COSYMPLECTIC STRUCTURE FOR THE FIELD THEORIES AND THE RELATIVISTIC MECHANICS

DOI10.1142/S0219887813500011zbMath1266.83039OpenAlexW1972955037MaRDI QIDQ4917802

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Publication date: 2 May 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887813500011

zbMATH Keywords

Hamiltonian formalismLagrangian formalismmultisymplectic geometryfield theories\(k\)-symplectic structure\(k\)-cosymplectic structurerelativistic and classical mechanics

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Electromagnetic theory (general) (78A25) Equations of motion in general relativity and gravitational theory (83C10) Einstein-Maxwell equations (83C22)

Related Items (1)

Multivector fields of Noether symmetries in the Lagrangian formalism and Belinfante tensor

Cites Work

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• Multivector fields and connections: Setting Lagrangian equations in field theories
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• Variational methods, multisymplectic geometry and continuum mechanics

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