Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The K\"ahler Ricci flow around complete bounded curvature K\"ahler
  metrics   We produce complete bounded curvature solutions to K\"ahler-Ricci flow with
existence time estimates, assuming only that the initial data is a smooth \K
metric uniformly equivalent to another complete bounded curvature \K metric. We
obtain related flow results for non-smooth as well as degenerate initial
conditions. We also obtain a stability result for complex space forms under the
flow.

6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org