Geometric aspects of nonholonomic field theories

DOI10.1016/S0034-4877(05)80093-XzbMath1083.70026arXivmath-ph/0506010OpenAlexW2077367735MaRDI QIDQ817448

Manuel de León, Frans Cantrijn, David Martín de Diego, Joris Vankerschaver

Publication date: 16 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0506010

zbMATH Keywords

Lagrangian field theoryCauchy formalismmultisymplectic approach

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (12)

Chetaev versus vakonomic prescriptions in constrained field theories with parametrized variational calculus ⋮ Hamilton-Jacobi theory for gauge field theories ⋮ Variational integrators in discrete vakonomic mechanics ⋮ A historical review on nonholomic mechanics ⋮ Hamel's formalism for classical field theories ⋮ NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES ⋮ General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids ⋮ Extended Hamiltonian systems in multisymplectic field theories ⋮ On continuum dynamics ⋮ The rotating rigid body model based on a non-twisting frame ⋮ GAUGE-NATURAL PARAMETRIZED VARIATIONAL PROBLEMS, VAKONOMIC FIELD THEORIES AND RELATIVISTIC HYDRODYNAMICS OF A CHARGED FLUID ⋮ The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories

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