Representation of the variational sequence in field theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F01%3A00000066" target="_blank" >RIV/47813059:19610/01:00000066 - 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
Representation of the variational sequence in field theory
Original language description
The aim of this paper is to discuss some aspects of local and global properties of classical concepts of calculus of variations in the r-th order field theory on fibered manifolds within the framework of the variational sequence, which is the quotient ofthe De Rham sequence with respect to its subsequence of contact differential forms. There is a close relationship between elements of the quotient sheaves (classes of forms) and the quotient mappings on one hand and the standard objects of the calculusof variations, such as lagrangian, Euler-Lagrange form and Helmholtz-Sonin expressions defining the so called Helmholtz-Sonin form, on the other hand.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F97%2F0001" target="_blank" >GA201/97/0001: Dynamical systems</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Steps in Differential Geometry
ISBN
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ISSN
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e-ISSN
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Number of pages
14
Pages from-to
147-160
Publisher name
Debrecen University
Place of publication
Debrecen
Event location
Debrecen
Event date
Jan 1, 2000
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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