Variational principles for locally variational forms

  title={Variational principles for locally variational forms},
  author={J. Brajer{\vc}{\'i}k and Demeter. Krupka},
We present the theory of higher order local variational principles in fibered manifolds, in which the fundamental global concept is a locally variational dynamical form. Any two Lepage forms, defining a local variational principle for this form, differ on intersection of their domains, by a variationally trivial form. In this sense, but in a different geometric setting, the local variational principles satisfy analogous properties as the variational functionals of the Chern–Simons type. The… CONTINUE READING

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