Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained Systems and Analytical Mechanics in Spases with Torsion   A system with anholonomic constraints where the trajectories of physical
degrees of freedom are autoparallels on a manifold equipped with a general
Cartan connection is discussed. A variational principle for the autoparallel
trajectories is derived from the d'Alambert-Lagrange principle for anholonomic
constrained systems. A geometrical (coordinate-independent) formulation of the
variational principle is given. Its relation to Sedov's anholonomic variational
principle for dissipative systems and to Poincar\'e's variational principle in
anholonomic reference frames is established. A modification of Noether's
theorem due to the torsion force is studied. A non-local action whose extrema
contain the autoparallels is proposed. The action can be made local by adding
auxiliary degrees of freedom coupled to the original variables in a special
way.

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The categories of this paper are: solv-int
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph