On the Legendre map in higher-order field theories
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Publication:3970220
DOI10.1088/0305-4470/23/14/016zbMath0761.58006OpenAlexW2160461375MaRDI QIDQ3970220
Mike Crampin, David J.Saunders
Publication date: 25 June 1992
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/23/14/016
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints ⋮ Variational principles for multisymplectic second-order classical field theories ⋮ The problem of invariance for covariant Hamiltonians ⋮ On the extraction of the boundary conditions and the boundary ports in second-order field theories ⋮ Constraint field systems in multimomentum canonical variables ⋮ The constraint algorithm in the jet formalism ⋮ Second-order Lagrangians admitting a first-order Hamiltonian formalism ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ Higher-order field theory with constraints ⋮ Second-neighbor interactions in classical field theories: invariance of the relative power and covariance ⋮ Geometry and balance of hyperstresses ⋮ Multisymplectic unified formalism for Einstein-Hilbert gravity ⋮ Order reduction, projectability and constraints of second-order field theories and higher-order mechanics ⋮ The Lagrangian-Hamiltonian formalism for higher-order field theories ⋮ THE HAMILTON–JACOBI FORMALISM FOR HIGHER-ORDER FIELD THEORIES ⋮ Regularity properties of fiber derivatives associated with higher-order mechanical systems ⋮ Unified formalism for higher order non-autonomous dynamical systems ⋮ A note on Legendre transformations ⋮ Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism
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