Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow   We explain a characterization of Einstein-Fano manifolds in terms of the
lower bound of the density of the volume of the K\"ahler-Ricci Flow. This is a
direct consequence of Perelman's uniform estimate for the K\"ahler-Ricci Flow
and a $C^0$ estimate of Tian and Zhu.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn