Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal surfaces in finite volume non compact hyperbolic $3$-manifolds   We prove there exists a compact embedded minimal surface in a complete finite
volume hyperbolic $3$-manifold $\mathcal{N}$. We also obtain a least area,
incompressible, properly embedded, finite topology, $2$-sided surface. We prove
a properly embedded minimal surface of bounded curvature has finite topology.
This determines its asymptotic behavior. Some rigidity theorems are obtained.

0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an