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W2050452010 abstract "Appropriate geometrical machinery for the study of time-dependent Lagrangian dynamics is developed. It is applied to the inverse problem of the calculus of variations, and a set of necessary and sufficient conditions for the existence of a Lagrangian are given, in terms of the existence of a 2-form with suitable properties, which are exactly equivalent to the Helmholtz conditions." @default.
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W2050452010 date "1984-05-11" @default.
W2050452010 modified "2023-10-13" @default.
W2050452010 title "A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics" @default.
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W2050452010 doi "https://doi.org/10.1088/0305-4470/17/7/011" @default.
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