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29 March 2024
 
  » arxiv » math-ph/0407054

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Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles
M. Francaviglia ; M. Palese ; E. Winterroth ;
Date 23 Jul 2004
Journal Rep. Math. Phys. 56(1) (2005) 11--22.
Subject Mathematical Physics; Differential Geometry MSC-class: 58A20;58A32;58E30 | math-ph math.DG math.MP
AffiliationDept. Math. Univ. Torino, Italy
AbstractBy resorting to Noether’s Second Theorem, we relate the generalized Bianchi identities for Lagrangian field theories on gauge-natural bundles with the kernel of the associated gauge-natural Jacobi morphism. A suitable definition of the curvature of gauge-natural variational principles can be consequently formulated in terms of the Hamiltonian connection canonically associated with a generalized Lagrangian obtained by contracting field equations.
Source arXiv, math-ph/0407054
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