2007/12/31 by M. Palese, Marcella Palese, Ekkehart Winterroth +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:58A20 #msc:58E30
paper · pdf · doi:10.1016/s0034-4877(08)80028-6
published as Rep. Math. Phys. 62(2) (2008) 229--239. · 11 pages, remarks and comments added, this version published in ROMP
openalex publication_date 2008/10/01 · arxiv created 2008/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A reductive structure is associated here with Lagrangian canonically defined conserved quantities on gauge-natural bundles. Parametrized transformations defined by the gauge-natural lift of infinitesimal principal automorphisms induce a variational sequence such that the generalized Jacobi morphism is naturally self-adjoint. As a consequence, its kernel defines a reductive split structure on the relevant underlying principal bundle.