Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical approach to separation of variables in mechanical systems   The article presents a compact review of the analytical results (2002-2009)
in the study of the system describing the motion of a top in two constant
fields. The Liouville integrability of this system under certain condition of
the Kowalevski type was established by A.G.Reyman and M.A.Semenov-Tian-Shansky.
We present some geometrical foundations of finding separations of variables.
Two systems of local planar coordinates are introduced leading to separation of
variables for two subsystems with two degrees of freedom in the dynamics of the
generalized Kowalevski top.

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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph