Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonvanishing of geodesic periods over compact hyperbolic manifolds   Let $X$ be a compact hyperbolic manifold with dimension $d\geqslant3$. In
this paper we show that there are infinitely many nonvanishing geodesic periods
defined over any compact $n$-dimensional ($n\geqslant2$) geodesic cycle of $X$.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc