Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical field theories of first order and lagrangian submanifolds of
  premultisymplectic manifolds   A description of classical field theories of first order in terms of
Lagrangian submanifolds of premultisymplectic manifolds is presented. For this
purpose, a Tulczyjew's triple associated with a fibration is discussed. The
triple is adapted to the extended Hamiltonian formalism. Using this triple, we
prove that Euler-Lagrange and Hamilton-De Donder-Weyl equations are the local
equations defining Lagrangian submanifolds of a premultisymplectic manifold.

1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio