Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second Order Lagrangian Dynamics On Double Cross Product Groups   We observe that the iterated tangent group of a Lie group may be realized as
a double cross product of the 2nd order tangent group, with the Lie algebra of
the base Lie group. Based on this observation, we derive the 2nd order
Euler-Lagrange equations on the 2nd order tangent group from the 1st order
Euler-Lagrange equations on the iterated tangent group. We also present in
detail the 2nd order Lagrangian dynamics on the 2nd order tangent group of a
double cross product group.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg