Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long time behaviour of Ricci flow on open 3-manifolds   We study the long time behaviour of Ricci flow with bubbling-off on a
possibly noncompact $3$-manifold of finite volume whose universal cover has
bounded geometry. As an application, we give a Ricci flow proof of Thurston's
hyperbolisation theorem for $3$-manifolds with toral boundary that generalizes
Perelman's proof of the hyperbolisation conjecture in the closed case.

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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph