The fundamental Lepage form in two independent variables: a generalization using order-reducibility
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F22%3A10249641" target="_blank" >RIV/61989100:27120/22:10249641 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/10/8/1211" target="_blank" >https://www.mdpi.com/2227-7390/10/8/1211</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math10081211" target="_blank" >10.3390/math10081211</a>
Alternative languages
Result language
angličtina
Original language name
The fundamental Lepage form in two independent variables: a generalization using order-reducibility
Original language description
A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting on (i) equivalence relation "Lepage differential 2-form is closed if and only if the associated Lagrangian is trivial" and, (ii) the principal component of Lepage form, extending the well-known Poincaré-Cartan form, preserves order prescribed by a given Lagrangian. This approach completes several attempts of finding a Lepage equivalent of a second-order Lagrangian possessing condition (i), which is well-known for first-order Lagrangians in field theory due to Krupka and Betounes.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
—
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
8
Country of publishing house
CH - SWITZERLAND
Number of pages
14
Pages from-to
"nestrankovano"
UT code for WoS article
000786858500001
EID of the result in the Scopus database
2-s2.0-85128722531