Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesics and Jacobi fields of pseudo-Finsler manifolds   In this paper, we derive the first and the second variation of the energy
functional for a pseudo-Finsler metric using the family of affine connections
associated to the Chern connection. This opens the possibility to accomplish
computations with coordinate-free methods. Using the second variation formula,
we introduce the index form and present some properties of Jacobi fields.

3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg