Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kissing numbers of closed hyperbolic manifolds   We prove an upper bound for the number of shortest closed geodesics in a
closed hyperbolic manifold of any dimension in terms of its volume and systole,
generalizing a theorem of Parlier for surfaces. We also obtain bounds on the
number of primitive closed geodesics with length in a given interval that are
uniform for all closed hyperbolic manifolds with bounded geometry. The proofs
rely on the Selberg trace formula.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: stat