On the closure property of Lepage equivalents of Lagrangians

25 Feb 2021  ·  Nicoleta Voicu, Stefan Garoiu, Bianca Vasian ·

For field-theoretical Lagrangians of arbitrary order, we construct a notion of Lepage equivalent with the so-called closure property: the Lepage equivalent is a closed differential form if and only if the given Lagrangian has vanishing Euler-Lagrange expressions. The construction is typically a local one; yet, we show that in most of the cases of interest for physics, this Lepage equivalent is actually globally defined... A variant of this construction, which is advantageous in the case of reducible Lagrangians, is also presented. read more

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Mathematical Physics Mathematical Physics 58A10, 58A20, 83D05