Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ricci flow on compact K\"ahler manifolds of positive bisectional
  curvature   We announce a new proof of the uniform estimate on the curvature of solutions
to the Ricci flow on a compact K\"ahler manifold $M^n$ with positive
bisectional curvature. In contrast to the recent work of X. Chen and G. Tian,
our proof of the uniform estimate does not rely on the exsitence of
K\"ahler-Einstein metrics on $M^n$, but instead on the first author's Harnack
inequality for the K\"ahler-Ricc flow, and a very recent local injectivity
radius estimate of Perelman for the Ricci flow.

9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio