Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic manifolds of small volume   We conjecture that for every dimension n not equal 3 there exists a
noncompact hyperbolic n-manifold whose volume is smaller than the volume of any
compact hyperbolic n-manifold. For dimensions n at most 4 and n=6 this
conjecture follows from the known results. In this paper we show that the
conjecture is true for arithmetic hyperbolic n-manifolds of dimension n at
least 30.

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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph