We construct generalizations of boundary forms of Kupferman, Olami and Segev and of the De Donder form to higher order Lagrangians. In principle, the resulting forms may depend on the coordinate system used. Nevertheless, it leads to many invariant conclusions. In some cases, like second order gravity, the construction leads to a unique De Donder form on the jet bundle that is independent of the choice of coordinates.
|Title of host publication||Geometric Continuum Mechanics|
|Editors||Reuven Segev, Marcelo Epstein|
|Place of Publication||Cham|
|Publisher||Springer International Publishing AG|
|Number of pages||35|
|State||Published - 2020|