Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On 3-dimensional Asymptotically Harmonic Manifolds   Let (M,g) be a complete, simply connected Riemannian manifold of dimension 3
without conjugate points. We show that M is a hyperbolic manifold of constant
sectional curvature, provided M is asymptotically harmonic of constant h > 0.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
14
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: funct-an
4
The categories of this paper are: cond-mat