On the Carathéodory form in higher-order variational field theory

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F21%3A10248632" target="_blank" >RIV/61989100:27120/21:10248632 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2073-8994/13/5/800" target="_blank" >https://www.mdpi.com/2073-8994/13/5/800</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym13050800" target="_blank" >10.3390/sym13050800</a>

Result language

angličtina

Original language name

On the Carathéodory form in higher-order variational field theory

Original language description

The Carathéodory form of the calculus of variations belongs to the class of Lepage equivalents of first-order Lagrangians in field theory. Here, this equivalent is generalized for second and higher-order Lagrangians by means of intrinsic geometric operations applied to the well-known Poincaré-Cartan form and principal component of Lepage forms, respectively. For second-order theory, our definition coincides with the previous result obtained by Crampin and Saunders in a different way. The Carathéodory equivalent of the Hilbert Lagrangian in general relativity is discussed.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10100 - Mathematics

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Symmetry

ISSN

2073-8994

e-ISSN

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Volume of the periodical

13

Issue of the periodical within the volume

5

Country of publishing house

CH - SWITZERLAND

Number of pages

13

Pages from-to

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UT code for WoS article

000654587600001

EID of the result in the Scopus database

2-s2.0-85105860137