De Donder Construction for Higher Jets

Jędrzej Śniatycki, Reuven Segev

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.
Original languageEnglish
Title of host publicationGeometric Continuum Mechanics
EditorsReuven Segev, Marcelo Epstein
Place of PublicationCham
PublisherSpringer International Publishing AG
Number of pages35
ISBN (Print)978-3-030-42683-5
StatePublished - 2020


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