Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A uniqueness theorem for asymptotically cylindrical shrinking Ricci
  solitons   We prove that a shrinking gradient Ricci soliton which agrees to infinite
order at spatial infinity with one of the standard cylindrical metrics on
$S^k\times \RR^{n-k}$ for $k\geq 2$ along some end must be isometric to the
cylinder on that end. When the underlying manifold is complete, it must be
globally isometric either to the cylinder or (when $k=n-1$) to its
$\ZZ_2$-quotient.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph