THE MOMENTUM MAP FOR NONHOLONOMIC FIELD THEORIES WITH SYMMETRY

DOI10.1142/S0219887805000971zbMath1081.53072arXivmath-ph/0507059OpenAlexW2042140952MaRDI QIDQ5715647

Joris Vankerschaver

Publication date: 4 January 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0507059

zbMATH Keywords

symmetrymomentum equationmultisymplectic geometrynonholonomic field theories

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (5)

A historical review on nonholomic mechanics ⋮ Hamel's formalism for classical field theories ⋮ Covariant momentum map for non-Abelian topological BF field theory ⋮ Hamel's formalism for infinite-dimensional mechanical systems ⋮ On Hamel’s equations

Cites Work

• Reduction of nonholonomic mechanical systems with symmetries
• Nonholonomic reduction
• Nonholonomic constraints in classical field theories
• Nonholonomic mechanical systems with symmetry
• SYMMETRIES IN CLASSICAL FIELD THEORY

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