Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some aspects of Ricci flow on the 4-sphere   In this paper, on 4-spheres equipped with Riemannian metrics we study some
integral conformal invariants, the sign and size of which under Ricci flow
characterize the standard 4-sphere. We obtain a conformal gap theorem, and for
Yamabe metrics of positive scalar curvature with $L^2$ norm of the Weyl tensor
of the metric suitably small, we establish the monotonic decay of the $L^p$
norm for certain $p>2$ of the reduced curvature tensor along the normalized
Ricci flow, with the metric converging exponentially to the standard 4-sphere.

33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th