AFFINE DUALITY AND LAGRANGIAN AND HAMILTONIAN SYSTEMS

DOI10.1142/S0219887811005336zbMath1273.70023OpenAlexW2049858637MaRDI QIDQ3087433

David J.Saunders, Olga Krupková

Publication date: 16 August 2011

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/s0219887811005336

zbMATH Keywords

variational problemsjet bundle

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (4)

Lagrangian and Hamiltonian duality ⋮ Lepage Manifolds ⋮ Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics ⋮ Dual jet bundles, Hamiltonian systems and connections

Cites Work

• The geometry of ordinary variational equations
• The constraint algorithm in the jet formalism
• The Hamilton-Cartan formalism in the calculus of variations
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• The constraint algorithm for time-dependent Lagrangians
• Quantum mechanics of higher derivative systems and total derivative terms
• GENERALIZED LAGRANGIAN DYNAMICS AND NOETHERIAN SYMMETRIES
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
• Legendre transformation and analytical mechanics: A geometric approach
• A geometric setting for higher-order Dirac–Bergmann theory of constraints
• Quantization of generalized mechanics

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