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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 045, 45 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.045 (Mi sigma1127) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Variational Sequences, Representation Sequences and Applications in Physics

Marcella Palesea, Olga Rossibc, Ekkehart Winterrothda, Jana Musilováe

a Department of Mathematics, University of Torino, via C. Alberto 10, 10123 Torino, Italy
b Department of Mathematics, Faculty of Science, University of Ostrava, Ostrava, Czech Republic
c Department of Mathematics and Statistics, La Trobe University, Melbourne, Australia
d Lepage Research Institute, 783 42 Slatinice, Czech Republic
e Institute of Theoretical Physics and Astrophysics, Masaryk University Brno, Czech Republic
Full-text PDF (637 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2016.045
Abstract: This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of variational symmetries and conservation laws in physics.
Keywords: fibered manifold; jet space; Lagrangian formalism; variational sequence; variational derivative; cohomology; symmetry; conservation law.
Funding agency Grant number
Czech Science Foundation 14-02476S
European Union's Seventh Framework Programme 317721
Research supported by Department of Mathematics, University of Torino, research projects Geometric methods in mathematical physics and applications 2014 and 2015, GNSAGA-INdAM and by grant no 14-02476S Variations, Geometry and Physics of the Czech Science Foundation. OR also wishes to acknowledge travel support by the IRSES project LIE-DIFF-GEOM (EU FP7, nr 317721) and the hospitality of the Department of Mathematics, Ghent University, Belgium.
Received: September 22, 2015; in final form April 26, 2016; Published online May 2, 2016
Bibliographic databases:
Document Type: Article
MSC: 55N30; 55R10; 58A12; 58A20; 58E30; 70S10
Language: English
Citation: Marcella Palese, Olga Rossi, Ekkehart Winterroth, Jana Musilová, “Variational Sequences, Representation Sequences and Applications in Physics”, SIGMA, 12 (2016), 045, 45 pp.
Citation in format AMSBIB
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\by Marcella~Palese, Olga~Rossi, Ekkehart~Winterroth, Jana~Musilov\'a
\paper Variational Sequences, Representation Sequences and Applications in Physics
\jour SIGMA
\yr 2016
\vol 12
\papernumber 045
\totalpages 45
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\crossref{https://doi.org/10.3842/SIGMA.2016.045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000377634700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84975069870}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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