NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES

DOI10.1142/S0219887808003077zbMath1186.70019arXiv0803.1540OpenAlexW3101337830MaRDI QIDQ3542816

David Martín de Diego, Modesto Salgado, Manuel de León, Silvia Vilariño

Publication date: 1 December 2008

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

Full work available at URL: https://arxiv.org/abs/0803.1540

zbMATH Keywords

conservation lawssymmetriesLagrangian field theoriesnonholonomic momentum mapprojector operator

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items

SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric control and numerical aspects of nonholonomic systems
• Geometric aspects of nonholonomic field theories
• Dynamical structures for k-vector fields
• A Darboux theorem for multi-symplectic manifolds
• Integrable \(p\)-almost tangent manifolds and tangent bundles of \(p^ 1\)- velocities
• Canonical structure of classical field theory in the polymomentum phase space
• Symplectic geometry on \(T^*M\) derived from \(n\)-symplectic geometry on \(LM\)
• Nonholonomic reduction
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Espaces variationnels et mécanique
• Nonholonomic constraints in classical field theories
• Nonholonomic mechanical systems with symmetry
• Symplectic approach to the theory of quantized fields. I
• Structure presque tangente et connexions. I
• The Hamilton-Cartan formalism in the calculus of variations
• Covariant field theory on frame bundles of fibered manifolds
• n -symplectic algebra of observables in covariant Lagrangian field theory
• k-cosymplectic manifolds and Lagrangian field theories
• Tangent bundle geometry Lagrangian dynamics
• A class of nonholonomic kinematic constraints in elasticity
• Hamiltonian systems on k-cosymplectic manifolds
• Schouten–Nijenhuis brackets
• Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
• SYMMETRIES IN CLASSICAL FIELD THEORY
• k-symplectic structures
• The Günther’s formalism in classical field theory: momentum map and reduction
• On the geometry of non-holonomic Lagrangian systems
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities