Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian manifolds with positive Yamabe invariant and Paneitz operator   For a Riemannian manifold with dimension at least six, we prove that the
existence of a conformal metric with positive scalar and Q curvature is
equivalent to the positivity of both the Yamabe invariant and the Paneitz
operator.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con