Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic Connections Induced by the Chern Connection   Let $(M,\omega)$ be a symplectic manifold and $F$ be a Finsler structure on
$M$. In the present paper we define a lift of the symplectic two-form $\omega$
on the manifold $TM\backslash 0$, and find the conditions that the Chern
connection of the Finsler structure $F$ preserves this lift of $\omega$. In
this situation if $M$ admits a nowhere zero vector field then we have a
non-empty family of Fedosov structures on $M$.

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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin