The intrinsic properties of rank and nullity of the Lagrange bracket in the one dimensional calculus of variations

DOI10.1098/rsta.1975.0085zbMath0318.49038OpenAlexW2055362078MaRDI QIDQ4080297

G. R. Allcock

Publication date: 1975

Published in: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.1975.0085

Mathematics Subject Classification ID

Hamilton's principle (70H25) Differential forms in global analysis (58A10) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Exterior differential systems (Cartan theory) (58A15) Variational principles of physics (49S05) Manifolds and measure-geometric topics (49Q99) Hamiltonian and Lagrangian mechanics (70Hxx)

Related Items (6)

Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q ⋮ Generalized Hamiltonian dynamics. II. Gauge transformations ⋮ Consistent wave equations for families of massive particles with any spin ⋮ On Dirac's incomplete analysis of gauge transformations ⋮ Generalized Noether theorems and applications ⋮ Generalized Noether theorems in canonical formalism for field theories and their applications

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