Affine Lagrangians in Second Order Field Theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F17%3A00001860" target="_blank" >RIV/75081431:_____/17:00001860 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Affine Lagrangians in Second Order Field Theory
Original language description
In this paper we consider the extension of the classical Hamilton - Cartan variation theory to fibrous varieties. It is known that in field theory, we can assign various Hamiltonian equations corresponding to the Lepage equivalents of Lagrangian to the variational problem represented by Lagrangian. The case of affine Lagrangians in the second derivatives is studied using differential geometry tools. A new condition of regularity and strong regularity and Legendre's transformation are found.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Mathematics, Information Technologies and Applied Sciences 2017
ISBN
9788075820266
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
217-225
Publisher name
University of Defence, Brno
Place of publication
ČR
Event location
16.6.2017
Event date
Jun 15, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000576896800024