Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Longtime existence of K\"ahler Ricci flow and holomorphic sectional
  curvature   In this work, we obtain a existence criteria for the longtime K\"ahler Ricci
flow solution. Using the existence result, we generalize a result by Wu-Yau on
the existence of K\"ahler Einstein metric to the case with possibly unbounded
curvature. Moreover, the K\"ahler Einstein metric with negative scalar curvture
must be unique up to scaling.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th