Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From quadratic Hamiltonians of polymomenta to abstract geometrical
  Maxwell-like and Einstein-like equations   The aim of this paper is to create a large geometrical background on the dual
1-jet space J^{1*}(T,M) for a multi-time Hamiltonian approach of the
electromagnetic and gravitational physical fields. Our geometric-physical
construction is achieved starting only from a given quadratic Hamiltonian
function of polymomenta H, which naturally produces a canonical nonlinear
connection N, a canonical Cartan N-linear connection C\Gamma(N) and their
corresponding local distinguished (d-) torsions and curvatures. In such a
context, we construct some geometrical electromagnetic-like and
gravitational-like field theories which are characterized by some natural
geometrical Maxwell-like and Einstein-like equations. Some abstract and
geometrical conservation laws for the multi-time Hamiltonian gravitational
physical field are also given.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat