Marcella Palese, Olga Rossi, Ekkehart Winterroth, Jana Musilová, “Variational Sequences, Representation Sequences and Applications in Physics”, SIGMA, 2016, том 12,045, 45 стр.

Эта публикация цитируется в 8 статьях

Variational Sequences, Representation Sequences and Applications in Physics

Marcella Palese^a, Olga Rossi^bc, Ekkehart Winterroth^da, Jana Musilová^e

^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

Аннотация: 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.

Ключевые слова: fibered manifold; jet space; Lagrangian formalism; variational sequence; variational derivative; cohomology; symmetry; conservation law.

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

Поступила: 22 сентября 2015 г.; в окончательном варианте 26 апреля 2016 г.; опубликована 2 мая 2016 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2016.045