De Donder Construction for Higher Jets

Jędrzej Śniatycki; Reuven Segev

doi:10.1007/978-3-030-42683-5_4

De Donder Construction for Higher Jets

Jędrzej Śniatycki, Reuven Segev

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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 language	English
Title of host publication	Geometric Continuum Mechanics
Editors	Reuven Segev, Marcelo Epstein
Place of Publication	Cham
Publisher	Springer International Publishing AG
Pages	185-219
Number of pages	35
ISBN (Print)	978-3-030-42683-5
DOIs	https://doi.org/10.1007/978-3-030-42683-5_4
State	Published - 2020

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10.1007/978-3-030-42683-5_4

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AB - 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.

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M3 - Chapter

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BT - Geometric Continuum Mechanics

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De Donder Construction for Higher Jets

Abstract

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