Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Generalized Bianchi Identities for Invariant Variational Problems
  on Gauge-natural Bundles   We derive both {\em local} and {\em global} generalized {\em Bianchi
identities} for classical Lagrangian field theories on gauge-natural bundles.
We show that globally defined generalized Bianchi identities can be found
without the {\em a priori} introduction of a connection. The proof is based on
a {\em global} decomposition of the {\em variational Lie derivative} of the
generalized Euler--Lagrange morphism and the representation of the
corresponding generalized Jacobi morphism on gauge-natural bundles. In
particular, we show that {\em within} a gauge-natural invariant Lagrangian
variational principle, the gauge-natural lift of infinitesimal principal
automorphism {\em is not} intrinsically arbitrary. As a consequence the
existence of {\em canonical} global superpotentials for gauge-natural Noether
conserved currents is proved without resorting to additional structures.

6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th