Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No breathers theorem for some noncompact Ricci flows   Under suitable conditions near infinity and assuming boundedness of curvature
tensor, we prove a no breathers theorem in the spirit of Ivey-Perelman for some
noncompact Ricci flows. These include Ricci flows on asymptotically flat (AF)
manifolds with positive scalar curvature. Since the method for the compact case
faces a difficulty, the proof involves solving a new non-local elliptic
equation which is the Euler-Lagrange equation of a scaling invariant log
Sobolev inequality.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex