Variational Sequences, Representation Sequences and Applications in Physics

2015/08/31 by Marcella Palese, Olga Rossi, Ekkehart Winterroth +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebra over a field #Applied mathematics #Biology #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Geometry #Homogeneous space #Law #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Order (exchange) #Physics #Pure mathematics #Representation (politics) #Sequence (biology) #Theoretical physics #Variational analysis #math-ph #math.MP #msc:55N30 #msc:55R10 #msc:58A12 #msc:58A20 #msc:58E30 #msc:70S10

paper · pdf · doi:10.3842/sigma.2016.045

published as SIGMA 12 (2016), 045, 45 pages

arxiv created 2016/05/02 · openalex publication_date 2016/05/02 · arxiv updated 2016/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Lagrangian reductive structures on gauge-natural bundles
• �ber die Erhaltungss�tze der Elektrodynamik
• A locally supersymmetric and reparametrization invariant action for the spinning string
• The b-spectral sequence, Lagrangian formalism, and conservation laws. II. The nonlinear theory
• Differential Analysis on Complex Manifolds

Cited by

• Induced Couplings and Causal Bounds from Nondegenerate Dirac Lagrangians
• Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory

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