Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian products which are conformally equivalent to Einstein metrics   Necessary and sufficient conditions for a Riemannian product to be
conformally equivalent to an Einstein manifold are given. Such spaces which are
complete are characterized.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ