Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balanced metrics on uniruled manifolds   We show that an $n-$dimensional Moishezon manifold is uniruled if and only if
it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern
curvature. A similar statement also holds true for class $\mathcal C$ manifolds
of dimension three.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin