Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A no expanding breather theorem for noncompact Ricci flows   In this note we show that, under certain curvature positivity conditions (the
weak $\operatorname{PIC}-2$ condition or the nonnegative bisectional curvature
condition), a complete and noncompact expanding breather of the Ricci flow is
also an expanding gradient Ricci soliton. This is the first no expanding
breather theorem in the noncompact category.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th