Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Injectivity radius bound of Ricci flow with positive Ricci curvature and
  applications   In this paper, we study the injectivity radius bound for 3-d Ricci flow. As
applications we show the long time existence of the Ricci flow with positive
Ricci curvature. We also partially settle a question in page 302 of the book of
Chow-Lu-Ni (2006).

35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph