Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality theorems for linkages in homogeneous surfaces   A mechanical linkage is a mechanism made of rigid rods linked together by
flexible joints, in which some vertices are fixed and others may move. The
partial configuration space of a linkage is the set of all the possible
positions of a subset of the vertices. We characterize the possible partial
configuration spaces of linkages in the (Lorentz-)Minkowski plane, in the
hyperbolic plane and in the sphere. We also give a proof of a differential
universality theorem in the Minkowski plane and in the hyperbolic plane: for
any compact manifold M, there is a linkage whose configuration space is
diffeomorphic to the disjoint union of a finite number of copies of M. In the
Minkowski plane, it is also true for any manifold M which is the interior of a
compact manifold with boundary.

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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg