Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super Ricci flow for disjoint unions   In this paper we consider compact, Riemannian manifolds $M_1, M_2$ each
equipped with a one-parameter family of metrics $g_1(t), g_2(t)$ satisfying the
Ricci flow equation. Motivated by a characterization of the super Ricci flow
developed by McCann-Topping, we introduce the notion of a super Ricci flow for
a family of distance metrics defined on the disjoint union $\MM$. In
particular, we show such a super Ricci flow property holds provided the
distance function between points in $M_1$ and $M_2$ evolves by the heat
equation. We also discuss possible applications and examples.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys