Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Euler number of symplectic hyperbolic manifold   In this article, we introduce a class of closed almost K\"{a}hler manifold
$X^{2n}$ which called the special symplectic hyperbolic manifold. Those
manifolds include K\"{a}hler hyperbolic manifolds. We show that the Euler
number of a special symplectic manifold satisfies the inequality
$(-1)^{n}\chi(X)>0$.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat