Lagrangian reductive structures on gauge-natural bundles
Mathematical Physics
2009-11-13 v3 Differential Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.0712.0925,
title = {Lagrangian reductive structures on gauge-natural bundles},
author = {M. Palese and E. Winterroth},
journal= {arXiv preprint arXiv:0712.0925},
year = {2009}
}
Comments
11 pages, remarks and comments added, this version published in ROMP