The variational sequence: Local and global properties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F00%3A00000047" target="_blank" >RIV/47813059:19610/00:00000047 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
The variational sequence: Local and global properties
Original language description
The aim of this paper is to discuss some aspects of local and global properties of the Euler-Lagrange and Helmholtz-Sonin mappings of the calculus of variations in the r-th order field theory, i.e. on r-jet prolongations of fibered manifolds over a n-dimensional base with n>1, within the framework of the variational sequence, i.e. the quotient of the De Rham sequence with respect to its subsequence of contact differential forms. Such a discussion is, in general, based on the concept of sheaves of differential forms. In the paper a globally defined representation of the variational sequence by forms is constructed which is closely related to the standard concepts in the calculus of variations. 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 calculus of variations, as lagrangians, Euler-Lagrange and Helmholtz-Sonin forms, and Euler-Lagrange and Helmholtz-Sonin mappings on the o
Czech name
—
Czech description
—

Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the Seminar on Differential Geometry
ISBN
ISBN80-7248-104
ISSN
—
e-ISSN
—
Number of pages
24
Pages from-to
—
Publisher name
Slezská Univerzita v Opavě, Opava
Place of publication
Opava, ČR
Event location
—
Event date
—
Type of event by nationality
—
UT code for WoS article
—

Similar results(10)