Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Isospectral compactness in conformal class for 4-manifolds   Let $(M, g_0)$ be a closed 4-manifold with positive Yamabe invariant and with
$L^2$-small Weyl curvature tensor. Let $g_1 \in [g_0]$ be any metric in the
conformal class of $g_0$ whose scalar curvature is $L^2$-close to a constant.
We prove that the set of Riemannian metrics in the conformal class $[g_0]$ that
are isospectral to $g_1$ is compact in the $C^\infty$ topology.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph