RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2016 Volume 12, 045, 45 pp. (Mi sigma1127)

This article is cited 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

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.

MSC: 55N30; 55R10; 58A12; 58A20; 58E30; 70S10

Received: September 22, 2015; in final form April 26, 2016; Published online May 2, 2016

Language: English

DOI: 10.3842/SIGMA.2016.045



Bibliographic databases:
ArXiv: 1508.01752


© Steklov Math. Inst. of RAS, 2024