Invariant variational structures on fibered manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50003221" target="_blank" >RIV/62690094:18470/15:50003221 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219887815500206" target="_blank" >http://dx.doi.org/10.1142/S0219887815500206</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887815500206" target="_blank" >10.1142/S0219887815500206</a>
Alternative languages
Result language
angličtina
Original language name
Invariant variational structures on fibered manifolds
Original language description
The aim of this paper is to present a relatively complete theory of invariance of global, higher-order integral variational functionals in fibered spaces, as developed during a few past decades. We unify and extend recent results of the geometric invariance theory; new results on deformations of extremals are also included. We show that the theory can be developed by means of the general concept of invariance of a differential form in geometry, which does not require different ad hoc modifications. Theconcept applies to invariance of Lagrangians, source forms and Euler-Lagrange forms, as well as to extremals of the given variational functional. Equations for generators of invariance transformations of the Lagrangians and the Euler-Lagrange forms are characterized in terms of Lie derivatives. As a consequence of invariance, we derive the global Noether's theorem on existence of conserved currents along extremals, and discuss the meaning of conservation equations. We prove a theorem des
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International journal of geometric methods in modern physics
ISSN
0219-8878
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
1-19
UT code for WoS article
000349015100007
EID of the result in the Scopus database
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