Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-locality for a coupled Ricci flow   Let $(M,g,\phi)$ be a solution to the Ricci flow coupled with the heat
equation for a scalar field $\phi$. We show that a complete,
$\kappa$-noncollapsed solution $(M,g,\phi)$ to this coupled Ricci flow with a
Type I singularity at time $T<\infty$ will converge to a non-trivial Ricci
soliton after parabolic rescaling, if the base point is Type I singular. A key
ingredient is a version of Perelman pseudo-locality for the coupled Ricci flow.

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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat